Square Root Calculator

Calculate the square root of any number with step-by-step solution.

Number

Square Root (√x)12

Cube Root (∛x)5.242

Perfect Square?Yes

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What is Square Root?

The square root of a number x is a value that, when multiplied by itself, gives x. Written as √x. For example, √144 = 12 because 12 × 12 = 144.

Perfect squares are numbers whose square roots are whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144...

√x = x^(1/2) ∛x = x^(1/3)

Examples: √144 = 12 √2 = 1.4142... ∛27 = 3 ∛8 = 2

1. Enter any non-negative number. 2. See the square root and cube root instantly. 3. Check if it's a perfect square.

What is √2?

√2 = 1.41421356... It's an irrational number (cannot be expressed as a fraction).

How to find square root without calculator?

Use prime factorization for perfect squares, or the long division method for others. For estimation: √50 is between √49 (7) and √64 (8), closer to 7.

What is the square root of negative numbers?

Square roots of negative numbers are imaginary numbers. √(-1) = i (imaginary unit). √(-16) = 4i.

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