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What is the Square Root of 20323?

The square root of 20323 is 142.558759815. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20323 = 142.558759815
CalculatedNon-perfect squareIrrational
Exact form√20323
Perfect squareNo
Number typeIrrational
Verification142.5587598152 ≈ 20323

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How the answer is calculated

We solve x2 = 20323. The resulting value is x = 142.558759815.

Verification: 142.5587598152 ≈ 20323.

Simplified radical form

The square root of 20323 in simplified radical form is √20323.

There are no square factors that can be taken outside the radical, so √20323 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20320142.5482374496
√20321142.5517449911
√20322142.5552524462
√20323142.558759815
√20324142.5622670976
√20325142.5657742938
√20326142.5692814038

Number properties

Is 20323 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20323 is irrational because 20323 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 20323.