What is the Square Root of 21331?

The square root of 21331 is 146.051360829. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21331 = 146.051360829
CalculatedNon-perfect squareIrrational
Exact form√21331
Perfect squareNo
Number typeIrrational
Verification146.0513608292 ≈ 21331

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How the answer is calculated

We solve x2 = 21331. The resulting value is x = 146.051360829.

Verification: 146.0513608292 ≈ 21331.

Simplified radical form

The square root of 21331 in simplified radical form is √21331.

There are no square factors that can be taken outside the radical, so √21331 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21328146.0410901082
√21329146.0445137621
√21330146.0479373357
√21331146.051360829
√21332146.0547842421
√21333146.0582075749
√21334146.0616308275

Number properties

Is 21331 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21331 is irrational because 21331 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 21331.