Square Root & Cube Root Calculator
Get the square root, cube root or any nth root of a number instantly — and see whether it is a perfect square or cube.
Updated
Formula
√x = x^(1/2)
∛x = x^(1/3)
ⁿ√x = x^(1/n)
Even roots (square, 4th…) of negative numbers aren't real numbers; odd roots are. ∛(−27) = −3.
Examples
√144
Square root of 144 = 12
√2
Square root of 2 = 1.4142135624
∛343
Cube root of 343 = 7
Reference table
| n | n² | n³ |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 4 | 8 |
| 3 | 9 | 27 |
| 4 | 16 | 64 |
| 5 | 25 | 125 |
| 6 | 36 | 216 |
| 7 | 49 | 343 |
| 8 | 64 | 512 |
| 9 | 81 | 729 |
| 10 | 100 | 1000 |
| 11 | 121 | 1331 |
| 12 | 144 | 1728 |
| 13 | 169 | 2197 |
| 14 | 196 | 2744 |
| 15 | 225 | 3375 |
Important information
- A square root asks: which number multiplied by itself gives x? Every positive number has two square roots (e.g. ±12 for 144); calculators show the positive one.
Frequently asked questions
What is the square root of 2?
About 1.41421356. It is irrational — the decimals never end or repeat.
Can you take the square root of a negative number?
Not as a real number. The result is an imaginary number, e.g. √−9 = 3i.
How do I find a cube root on a normal calculator?
Raise the number to the power 1/3: x^(1/3). Or use this calculator.
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