Copy ∛ in one tap, or pick from 42 rows: ∛8, ∛27 and ∛64, ∜, and fifth to nth roots.
Cube Root Symbol Copy and Paste
∛Cube rootU+221BReady to copy
42 root characters and strings. Tap any value to copy it.
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42 root characters and strings. A character and its name both copy the character. A code copies the code.
Character
Name
Code point
Alt code
HTML
LaTeX
U+221B. A root sign with a small 3 in its crook: ∛x is the number that gives x when it is multiplied by itself three times. No Alt code and no named HTML entity, so HTML takes ∛ or ∛. In LaTeX it is \sqrt[3]{x}.
Made of U+221B and U+0078. The sign and a letter, ready for algebra. Swap the x for your own number or letter: nothing is joined, so any character can follow the sign.
Made of U+221B and U+0038. Equals 2, because 2 × 2 × 2 = 8. The smallest perfect cube after 1.
Made of U+221B, U+0032 and U+0037. Equals 3, because 3 × 3 × 3 = 27.
Made of U+00B3 and U+221A. Superscript three in front of the square root sign, for a font that has no ∛. Both halves have Alt codes on a number pad: Alt+0179, then Alt+251.
U+221C. A root sign with a small 4, and the last one with its index built in: a fifth root has to be put together from ⁵ and √. HTML takes ∜, and LaTeX \sqrt[4]{x}.
Made of U+2075 and U+221A. Superscript five in front of the square root sign. The small number is the index, or degree, of the root, and the number under the sign is the radicand.
Made of U+207F and U+221A. A root of any degree. Michel Rolle's Traité d'algèbre of 1690 established this way of writing the nth root. ⁿ is Alt+252 on a number pad.
Made of U+221B, U+0028 and U+0029. Brackets show how far the root reaches where no bar can be drawn: ∛(x + 1) roots the whole sum, and ∛x + 1 roots only the x.
U+00B3. Unicode's note: cubed. It is the index of a home-made cube root, ³√, and the way back as well, since cubing undoes a cube root. Alt+0179 on a number pad, ³ in HTML.
Made of U+00B3, U+221A and U+0078. The home-made sign with its radicand. The small 3 sits a little to the left of where ∛ draws it.
U+0606. Arabic script's own cube root sign. Unicode files it under Radix symbols in the Arabic block, with a cross-reference to ∛. Added in Unicode 5.1 (2008).
Made of U+221B, U+0036 and U+0034. Equals 4, because 4 × 4 × 4 = 64. 64 is a perfect square too: √64 is 8.
Made of U+221B and U+0032. About 1.25992, the side of a cube with twice the volume of a cube of side 1. Doubling the cube, an old Greek problem, asks for this length, and Pierre Wantzel proved in 1837 that compass and straightedge cannot construct it.
Made of U+221B, U+2212 and U+0038. Equals −2, because −2 × −2 × −2 = −8. Every real number has exactly one real cube root, so a negative number has one too, which is not true of square roots. Written with U+2212 Minus sign, not the hyphen.
U+0607. Arabic script's own fourth root sign, the second of the two Radix symbols of the Arabic block. Added in Unicode 5.1 (2008).
Made of U+2074 and U+221A. Means the same as ∜, for a font that lacks that character.
Made of U+2076 and U+221A. The sixth root is the cube root of the square root, taken in either order.
Made of U+2077 and U+221A. Roots above the cube root are named with ordinal numbers: fourth root, seventh root, twentieth root.
Made of U+2078 and U+221A. The square root taken three times over.
Made of U+2079 and U+221A. The cube root of a cube root.
Made of U+00B9, U+2070 and U+221A. Two small digits, ¹ and ⁰, make an index of 10. Any index can be built this way.
Made of U+207F, U+221A and U+0078. The same thing as x to the power 1/n.
Made of U+00B9, U+00B2, U+221A and U+0032. About 1.05946: the frequency ratio of a semitone in twelve-tone equal temperament, where each note is this many times the frequency of the one below it.
Made of U+221C, U+0031 and U+0036. Equals 2, because 2 × 2 × 2 × 2 = 16.
Made of U+2075, U+221A, U+0033 and U+0032. Equals 2, because 2 × 2 × 2 × 2 × 2 = 32.
Made of U+221B and U+203E. U+203E Overline typed after the sign lengthens its top stroke. Add one overline for each character that follows. How well they join depends on the font.
Made of U+221B, U+0078 and U+0305. An x with U+0305 Combining overline pasted after it, which draws the bar over the letter. For a longer radicand the mark goes after every character.
Made of U+221B, U+0038 and U+0305. The digit 8 under a combining overline. Swap the 8 for your own digit and keep the mark that follows it.
U+2074. The index of a home-made fourth root, ⁴√. No Alt code and no named HTML entity.
U+2075. The index of a fifth root, ⁵√. From 4 to 9 the small digits live in the Superscripts and Subscripts block and have no Alt code.
U+2076. The index of a sixth root, ⁶√.
U+2077. The index of a seventh root, ⁷√.
U+2078. The index of an eighth root, ⁸√.
U+2079. The index of a ninth root, ⁹√.
U+207F. The index of an nth root, ⁿ√. Unicode's note: functions as a modifier letter. Alt+252 on a number pad.
U+00B9. Pairs with another small digit for an index of 10 or more, as in ¹²√. Alt+0185 on a number pad, ¹ in HTML.
U+2070. With ¹ it makes the index of a tenth root, ¹⁰√.
U+00B2. A square root is written with its index left out, so the small 2 is here for two-digit indexes such as ¹²√. Alt+253 on a number pad, ² in HTML.
U+2153. A cube root is a power of one third: ∛x is x to the ⅓. ⅓ in HTML.
Made of U+0078, U+005E and U+2153. The cube root of x written as a power, with the caret of plain text and the one third fraction.
Made of U+0078 and U+00B3. The way back: if ∛x is y, then y³ is x.
The cube root symbol is ∛, Cube root, U+221B. It has no Alt code. The 42 rows add ready-made roots such as ∛27, the fourth root ∜ and home-made fifth to nth roots.
Read the full guide
Roots above the fourth are built, not copied whole
Unicode has one character each for the cube root and the fourth root, and none beyond. For a fifth root, put a small 5 in front of √: ⁵√. The small number is the index, and the number under the sign is the radicand. Two digits work too, as in ¹²√. For your own cube root, copy ∛ and type the number after it.
Tips
In LaTeX, \sqrt[3]{x} draws the cube root under a bar of the right length. Any index fits in the brackets, with no package.
A negative number has a real cube root: ∛−8 is −2. Cube root of minus 8 carries the true minus sign, not a hyphen.
Where no root sign can be typed, write the power: x^(1/3) means ∛x, and x^(1/n) means ⁿ√x.
Questions and answers
How do I type the cube root symbol on a keyboard?
No Alt code and no key on the U.S. layout types ∛. In Word, type 221B, then press Alt and X. Elsewhere, build ³√ on a number pad: Alt+0179 for the small 3, then Alt+251 for √.
Why does the cube root symbol copy as an empty box?
The box means the font on screen has no ∛. The character itself copied correctly and shows wherever a font carries it. To be safe, use ³√: its two halves are in the old PC code pages, the ones Alt codes come from.
What is the HTML code for the cube root symbol?
HTML has no named entity for ∛, so write ∛ or ∛. The fourth root is ∜. The small 3 does have a name, ³, so ³√ gives the home-made ³√.
Is there a symbol for the fifth root or the nth root?
Not as one character: the signs with a built-in index stop at the fourth root, ∜. For anything higher, put a small number in front of √, as in ⁵√ or ⁿ√, a notation that Michel Rolle's Traité d'algèbre of 1690 established.
∛Cube rootU+221B. A root sign with a small 3 in its crook: ∛x is the number that gives x when it is multiplied by itself three times. No Alt code and no named HTML entity, so HTML takes ∛ or ∛. In LaTeX it is \sqrt[3]{x}.
³√Cube root from a superscript threeMade of U+00B3 and U+221A. Superscript three in front of the square root sign, for a font that has no ∛. Both halves have Alt codes on a number pad: Alt+0179, then Alt+251.
∛27Cube root of 27Made of U+221B, U+0032 and U+0037. Equals 3, because 3 × 3 × 3 = 27.
∛8Cube root of 8Made of U+221B and U+0038. Equals 2, because 2 × 2 × 2 = 8. The smallest perfect cube after 1.
∛xCube root of xMade of U+221B and U+0078. The sign and a letter, ready for algebra. Swap the x for your own number or letter: nothing is joined, so any character can follow the sign.
∛()Cube root with bracketsMade of U+221B, U+0028 and U+0029. Brackets show how far the root reaches where no bar can be drawn: ∛(x + 1) roots the whole sum, and ∛x + 1 roots only the x.
Show all 42 root characters and strings (36 more)
Start here, continued
⁵√Fifth rootMade of U+2075 and U+221A. Superscript five in front of the square root sign. The small number is the index, or degree, of the root, and the number under the sign is the radicand.
∜Fourth rootU+221C. A root sign with a small 4, and the last one with its index built in: a fifth root has to be put together from ⁵ and √. HTML takes ∜, and LaTeX \sqrt[4]{x}.
ⁿ√Nth rootMade of U+207F and U+221A. A root of any degree. Michel Rolle's Traité d'algèbre of 1690 established this way of writing the nth root. ⁿ is Alt+252 on a number pad.
³Superscript threeU+00B3. Unicode's note: cubed. It is the index of a home-made cube root, ³√, and the way back as well, since cubing undoes a cube root. Alt+0179 on a number pad, ³ in HTML.
Cube root signs 2
؆Arabic-indic cube rootU+0606. Arabic script's own cube root sign. Unicode files it under Radix symbols in the Arabic block, with a cross-reference to ∛. Added in Unicode 5.1 (2008).
³√xCube root of x from a superscript threeMade of U+00B3, U+221A and U+0078. The home-made sign with its radicand. The small 3 sits a little to the left of where ∛ draws it.
Ready-made cube roots 3
∛2Cube root of 2Made of U+221B and U+0032. About 1.25992, the side of a cube with twice the volume of a cube of side 1. Doubling the cube, an old Greek problem, asks for this length, and Pierre Wantzel proved in 1837 that compass and straightedge cannot construct it.
∛64Cube root of 64Made of U+221B, U+0036 and U+0034. Equals 4, because 4 × 4 × 4 = 64. 64 is a perfect square too: √64 is 8.
∛−8Cube root of minus 8Made of U+221B, U+2212 and U+0038. Equals −2, because −2 × −2 × −2 = −8. Every real number has exactly one real cube root, so a negative number has one too, which is not true of square roots. Written with U+2212 Minus sign, not the hyphen.
Fourth, fifth and nth roots 11
؇Arabic-indic fourth rootU+0607. Arabic script's own fourth root sign, the second of the two Radix symbols of the Arabic block. Added in Unicode 5.1 (2008).
⁸√Eighth rootMade of U+2078 and U+221A. The square root taken three times over.
⁵√32Fifth root of 32Made of U+2075, U+221A, U+0033 and U+0032. Equals 2, because 2 × 2 × 2 × 2 × 2 = 32.
⁴√Fourth root from a superscript fourMade of U+2074 and U+221A. Means the same as ∜, for a font that lacks that character.
∜16Fourth root of 16Made of U+221C, U+0031 and U+0036. Equals 2, because 2 × 2 × 2 × 2 = 16.
⁹√Ninth rootMade of U+2079 and U+221A. The cube root of a cube root.
ⁿ√xNth root of xMade of U+207F, U+221A and U+0078. The same thing as x to the power 1/n.
⁷√Seventh rootMade of U+2077 and U+221A. Roots above the cube root are named with ordinal numbers: fourth root, seventh root, twentieth root.
⁶√Sixth rootMade of U+2076 and U+221A. The sixth root is the cube root of the square root, taken in either order.
¹⁰√Tenth rootMade of U+00B9, U+2070 and U+221A. Two small digits, ¹ and ⁰, make an index of 10. Any index can be built this way.
¹²√2Twelfth root of 2Made of U+00B9, U+00B2, U+221A and U+0032. About 1.05946: the frequency ratio of a semitone in twelve-tone equal temperament, where each note is this many times the frequency of the one below it.
With a bar or brackets 3
∛8̅Cube root of 8, under a barMade of U+221B, U+0038 and U+0305. The digit 8 under a combining overline. Swap the 8 for your own digit and keep the mark that follows it.
∛x̅Cube root of x, under a barMade of U+221B, U+0078 and U+0305. An x with U+0305 Combining overline pasted after it, which draws the bar over the letter. For a longer radicand the mark goes after every character.
∛‾Cube root with an overlineMade of U+221B and U+203E. U+203E Overline typed after the sign lengthens its top stroke. Add one overline for each character that follows. How well they join depends on the font.
Small numbers and powers 13
x³Cube of xMade of U+0078 and U+00B3. The way back: if ∛x is y, then y³ is x.
x^⅓Cube root as a powerMade of U+0078, U+005E and U+2153. The cube root of x written as a power, with the caret of plain text and the one third fraction.
⁸Superscript eightU+2078. The index of an eighth root, ⁸√.
⁵Superscript fiveU+2075. The index of a fifth root, ⁵√. From 4 to 9 the small digits live in the Superscripts and Subscripts block and have no Alt code.
⁴Superscript fourU+2074. The index of a home-made fourth root, ⁴√. No Alt code and no named HTML entity.
ⁿSuperscript Latin small letter nU+207F. The index of an nth root, ⁿ√. Unicode's note: functions as a modifier letter. Alt+252 on a number pad.
⁹Superscript nineU+2079. The index of a ninth root, ⁹√.
¹Superscript oneU+00B9. Pairs with another small digit for an index of 10 or more, as in ¹²√. Alt+0185 on a number pad, ¹ in HTML.
⁷Superscript sevenU+2077. The index of a seventh root, ⁷√.
⁶Superscript sixU+2076. The index of a sixth root, ⁶√.
²Superscript twoU+00B2. A square root is written with its index left out, so the small 2 is here for two-digit indexes such as ¹²√. Alt+253 on a number pad, ² in HTML.
⁰Superscript zeroU+2070. With ¹ it makes the index of a tenth root, ¹⁰√.
⅓Vulgar fraction one thirdU+2153. A cube root is a power of one third: ∛x is x to the ⅓. ⅓ in HTML.