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Square Root Calculator

Calculate the square root of any number with simplified steps and perfect square analysis.

Radical Processor
Enter a number to solve.
Square Root Evaluation
12
Squared: 144
Perfect Square

Simplified Form

√144 = 12

Number Type

Even Number

Primality

Composite

Radical Derivation
√144 (n=2)
= 12 (Perfect Root)
What is a Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9. Finding a square root is the inverse operation of squaring a number.

How to Find Square Roots?

The Square Root Symbol

√x = y where y² = x

The radical symbol (√) represents the non-negative square root of a number.

Prime Factorization Method

√x = √(a × a × b × b...)

By breaking a number into prime factors, you can group identical pairs to simplify the radical expression.

Frequently Asked Questions

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