Calculate Square Roots
Find the square root of any number. Shows perfect squares, simplified radicals, and decimal results.
What Is a Square Root?
The square root of a number N is the value that, when multiplied by itself, gives N. √144 = 12 because 12 × 12 = 144. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144...) have whole number roots. All other positive numbers have irrational square roots (non-repeating decimals).
Simplifying Radicals
Non-perfect squares can sometimes be simplified by factoring out perfect square factors. √72 = √(36 × 2) = 6√2 ≈ 8.485. Find the largest perfect square factor: 72 = 36 × 2, so √72 = √36 × √2 = 6√2. This is important in algebra and geometry.
Square root calculator gets 40K monthly searches — largely students doing homework. Having this as a standalone page (not buried in a scientific calculator) captures the exact-match search intent.
