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What is the Square Root of 20241?

The square root of 20241 is 142.2708684166. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20241 = 142.2708684166
CalculatedNon-perfect squareIrrational
Exact form√20241
Perfect squareNo
Number typeIrrational
Verification142.27086841662 ≈ 20241

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How the answer is calculated

We solve x2 = 20241. The resulting value is x = 142.2708684166.

Verification: 142.27086841662 ≈ 20241.

Simplified radical form

The square root of 20241 in simplified radical form is 3√2249.

This is equivalent to √20241, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20238142.2603247571
√20239142.2638393971
√20240142.2673539502
√20241142.2708684166
√20242142.2743827961
√20243142.2778970888
√20244142.2814112947

Number properties

Is 20241 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20241 is irrational because 20241 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 20241.