HesapHanem

Square Root Calculator

Find the square and cube root of any number.

Result

7.07
3.68

How it is calculated

For a non-negative number n the tool returns two values: the square root √n, the number that multiplied by itself gives n, and the cube root n1/3, the number that multiplied by itself three times gives n. Both are rounded to two decimals.

Negative inputs return no result, because a real square root of a negative number does not exist. Most results are irrational numbers with endless digits, so the shown value is an approximation; squaring 7.07 gives 49.98, not exactly 50. Perfect squares such as 49 or 64 give exact whole roots.

Worked example

Number 50. Square root: 7.07 × 7.07 ≈ 49.98 and 7.08 × 7.08 ≈ 50.13, so √50 ≈ 7.07. Cube root: 3.68³ ≈ 49.8 and 3.69³ ≈ 50.2, so ∛50 ≈ 3.68. The tool shows 7.07 as the square root and 3.68 as the cube root.

Try this example →

Common mistakes

  • Expecting an exact answer: for numbers that are not perfect squares or cubes, the two-decimal result is rounded.
  • Confusing the two outputs: the square root of 50 is not the cube root of 50.
  • Entering a negative number and expecting an answer; no real root is returned.
  • Using the rounded root in further calculations and losing precision.

About this calculator

This calculator finds the square root (√x) and cube root (∛x) of any non-negative number you enter; negative numbers give no result, because a real square root does not exist for them. Both results are rounded to two decimals, and a perfect square such as 144 or 225 gives an exact whole root.

Students use it to check algebra and geometry homework, engineers use it when solving for a side length from an area or a signal's RMS value, and it's a quick way to verify calculations involving the Pythagorean theorem or standard deviation, both of which rely on square roots.

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Comments (1)

  • Editorial team

    The tool only accepts zero and positive numbers, so a negative input returns no result, because the answer would be imaginary. Both the square root and the cube root are rounded to two decimals, which is fine for estimating but not for chained calculations, where you should keep more digits. A quick check is to square the answer and see if you land near the original number. Do you also need roots of negative numbers or higher roots?

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