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What is the Square Root of 20325?

The square root of 20325 is 142.5657742938. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20325 = 142.5657742938
CalculatedNon-perfect squareIrrational
Exact form√20325
Perfect squareNo
Number typeIrrational
Verification142.56577429382 ≈ 20325

On this page

How the answer is calculated

We solve x2 = 20325. The resulting value is x = 142.5657742938.

Verification: 142.56577429382 ≈ 20325.

Simplified radical form

The square root of 20325 in simplified radical form is 5√813.

This is equivalent to √20325, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20322142.5552524462
√20323142.558759815
√20324142.5622670976
√20325142.5657742938
√20326142.5692814038
√20327142.5727884275
√20328142.576295365

Number properties

Is 20325 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20325 is irrational because 20325 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 20325.