Find the square root of a number — or its cube root, fourth root and so on — as an exact simplified radical where one exists, and as a decimal to ten places.
Enter a number, then press Calculate.
| n | n² |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
| 20 | 400 |
Split the number into a perfect square times what is left, and take the square root of the perfect square: √72 = √36 × √2 = 6√2.
√2 ≈ 1.4142135624. It is irrational: the decimal never ends or repeats.
Yes. ∛−8 = −2, because −2 × −2 × −2 = −8. Square roots and other even roots of negative numbers are not real numbers.
Decimals are rounded to 10 places. Even roots of negative numbers are not real numbers and are not calculated.
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