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What is the Square Root of 20375?

The square root of 20375 is 142.7410242362. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20375 = 142.7410242362
CalculatedNon-perfect squareIrrational
Exact form√20375
Perfect squareNo
Number typeIrrational
Verification142.74102423622 ≈ 20375

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How the answer is calculated

We solve x2 = 20375. The resulting value is x = 142.7410242362.

Verification: 142.74102423622 ≈ 20375.

Simplified radical form

The square root of 20375 in simplified radical form is 5√815.

This is equivalent to √20375, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20372142.7305153077
√20373142.7340183698
√20374142.737521346
√20375142.7410242362
√20376142.7445270404
√20377142.7480297587
√20378142.7515323911

Number properties

Is 20375 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20375 is irrational because 20375 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 20375.