Find the square root of any non-negative number, plus its square and cube root.
Find the square root of any non-negative number, plus its square and cube root.
Enter values above and click Calculate — results will appear here with the formula explained.
A square root answers the question: which number times itself produces this value? Because squaring erases the sign of its input, every positive number has exactly two square roots — one positive and one negative — and the √ symbol refers to the positive (principal) root.
Most square roots are irrational, meaning their decimals never repeat or terminate. √2 ≈ 1.41421356… continues forever. Perfect squares like 144 are the exception: their roots are exact integers.
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A square root answers the question: which number times itself produces this value? Because squaring erases the sign of its input, every positive number has exactly two square roots — one positive and one negative — and the √ symbol refers to the positive (principal) root. Formula: √x is the non-negative number y satisfying y × y = x
Square Root Calculator computes find the square root of any non-negative number, plus its square and cube root. Formula: √x is the non-negative number y satisfying y × y = x. Example: √144 = 12 because 12 × 12 = 144.
Find the square root of any non-negative number, plus its square and cube root. Formula: √x is the non-negative number y satisfying y × y = x
| Field | What to enter |
|---|---|
| Number | e.g. 144 |
All fields use the exact formulas shown below — results include step-by-step breakdowns you can verify by hand.
A square root answers the question: which number times itself produces this value? Because squaring erases the sign of its input, every positive number has exactly two square roots — one positive and one negative — and the √ symbol refers to the positive (principal) root.
Most square roots are irrational, meaning their decimals never repeat or terminate. √2 ≈ 1.41421356… continues forever. Perfect squares like 144 are the exception: their roots are exact integers.
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√144 = 12 because 12 × 12 = 144. By contrast √130 ≈ 11.40175, an irrational value that only approximates.
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