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What is the Square Root of 21431?

The square root of 21431 is 146.3933058579. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21431 = 146.3933058579
CalculatedNon-perfect squareIrrational
Exact form√21431
Perfect squareNo
Number typeIrrational
Verification146.39330585792 ≈ 21431

On this page

How the answer is calculated

We solve x2 = 21431. The resulting value is x = 146.3933058579.

Verification: 146.39330585792 ≈ 21431.

Simplified radical form

The square root of 21431 in simplified radical form is √21431.

There are no square factors that can be taken outside the radical, so √21431 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21428146.3830591291
√21429146.3864747851
√21430146.3898903613
√21431146.3933058579
√21432146.3967212748
√21433146.400136612
√21434146.4035518695

Number properties

Is 21431 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21431 is irrational because 21431 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 21431.