Square roots, cube roots and beyond
The n-th root of a number is the value that, multiplied by itself n times, gives that number. The square root of 49 is 7 because 7 × 7 = 49, and the cube root of 27 is 3 because 3 × 3 × 3 = 27.
This calculator finds any root, checks the answer by raising it back to the power, and simplifies square roots into radical form, for example √72 = 6√2.
How it is calculated
n-th root of x = x^(1/n)
√(a² × b) = a√b
Worked example
Roots of 72 and 27
- √72 exactly
- 6√2
- √72 as a decimal
- 8.48528137
- ∛27
- 3
Perfect squares worth knowing
| Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Square | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 |