Square Root Calculator
Calculate square roots, cube roots, and nth roots. Shows simplified radical form and perfect square check.
Perfect Squares Reference
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
11²=121
12²=144
13²=169
14²=196
15²=225
Square Root of 144
12
Perfect Square
144²
20,736
144³
2,985,984
Frequently Asked Questions
How do you calculate a square root?+
The square root of a number x is the value that, when multiplied by itself, gives x. For example, √144 = 12 because 12 × 12 = 144. This calculator handles any positive number and simplifies radicals.
What is a perfect square?+
A perfect square is a number whose square root is a whole number. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225.
How do you simplify a radical?+
Factor out perfect squares from under the radical. Example: √72 = √(36 × 2) = 6√2. Find the largest perfect square factor and move its root outside.