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What is the Square Root of 20237?

The square root of 20237 is 142.2568100303. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20237 = 142.2568100303
CalculatedNon-perfect squareIrrational
Exact form√20237
Perfect squareNo
Number typeIrrational
Verification142.25681003032 ≈ 20237

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How the answer is calculated

We solve x2 = 20237. The resulting value is x = 142.2568100303.

Verification: 142.25681003032 ≈ 20237.

Simplified radical form

The square root of 20237 in simplified radical form is 7√413.

This is equivalent to √20237, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20234142.2462653288
√20235142.2497803162
√20236142.2532952167
√20237142.2568100303
√20238142.2603247571
√20239142.2638393971
√20240142.2673539502

Number properties

Is 20237 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20237 is irrational because 20237 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 20237.