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What is the Square Root of 20388?

The square root of 20388 is 142.7865539888. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20388 = 142.7865539888
CalculatedNon-perfect squareIrrational
Exact form√20388
Perfect squareNo
Number typeIrrational
Verification142.78655398882 ≈ 20388

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How the answer is calculated

We solve x2 = 20388. The resulting value is x = 142.7865539888.

Verification: 142.78655398882 ≈ 20388.

Simplified radical form

The square root of 20388 in simplified radical form is 2√5097.

This is equivalent to √20388, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20385142.7760484115
√20386142.7795503565
√20387142.7830522156
√20388142.7865539888
√20389142.7900556762
√20390142.7935572776
√20391142.7970587932

Number properties

Is 20388 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20388 is irrational because 20388 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 20388.