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What is the Square Root of 20320?

The square root of 20320 is 142.5482374496. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20320 = 142.5482374496
CalculatedNon-perfect squareIrrational
Exact form√20320
Perfect squareNo
Number typeIrrational
Verification142.54823744962 ≈ 20320

On this page

How the answer is calculated

We solve x2 = 20320. The resulting value is x = 142.5482374496.

Verification: 142.54823744962 ≈ 20320.

Simplified radical form

The square root of 20320 in simplified radical form is 4√1270.

This is equivalent to √20320, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20317142.5377143075
√20318142.5412221079
√20319142.5447298219
√20320142.5482374496
√20321142.5517449911
√20322142.5552524462
√20323142.558759815

Number properties

Is 20320 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20320 is irrational because 20320 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 20320.