Square Root Calculator
Find the square root of a number and its simplified radical form.
Square root
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Simplified radical
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Perfect square?
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Results update as you type.
About this calculator
A square root calculator gives the principal (positive) square root of a number, plus its simplified radical form — the largest perfect-square factor pulled outside the radical. For example √72 simplifies to 6√2. Negative inputs have no real square root.
Frequently asked questions
What is a simplified radical?
It rewrites a root by factoring out the largest perfect square. √72 = √(36×2) = 6√2, which is exact, unlike the rounded decimal 8.485.
Is the square root of a number always positive?
Every positive number has two square roots, one positive and one negative. This tool returns the principal (positive) root, which is the standard √ result.
Results are estimates for general guidance only, not financial, medical or tax advice.