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What is the Square Root of 20352?

The square root of 20352 is 142.660436001. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20352 = 142.660436001
CalculatedNon-perfect squareIrrational
Exact form√20352
Perfect squareNo
Number typeIrrational
Verification142.6604360012 ≈ 20352

On this page

How the answer is calculated

We solve x2 = 20352. The resulting value is x = 142.660436001.

Verification: 142.6604360012 ≈ 20352.

Simplified radical form

The square root of 20352 in simplified radical form is 8√318.

This is equivalent to √20352, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20349142.6499211356
√20350142.6534261769
√20351142.656931132
√20352142.660436001
√20353142.6639407839
√20354142.6674454807
√20355142.6709500915

Number properties

Is 20352 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20352 is irrational because 20352 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 20352.