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What is the Square Root of 20389?

The square root of 20389 is 142.7900556762. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20389 = 142.7900556762
CalculatedNon-perfect squareIrrational
Exact form√20389
Perfect squareNo
Number typeIrrational
Verification142.79005567622 ≈ 20389

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How the answer is calculated

We solve x2 = 20389. The resulting value is x = 142.7900556762.

Verification: 142.79005567622 ≈ 20389.

Simplified radical form

The square root of 20389 in simplified radical form is √20389.

There are no square factors that can be taken outside the radical, so √20389 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20386142.7795503565
√20387142.7830522156
√20388142.7865539888
√20389142.7900556762
√20390142.7935572776
√20391142.7970587932
√20392142.800560223

Number properties

Is 20389 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20389 is irrational because 20389 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 20389.