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What is the Square Root of 21367?

The square root of 21367 is 146.174553189. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21367 = 146.174553189
CalculatedNon-perfect squareIrrational
Exact form√21367
Perfect squareNo
Number typeIrrational
Verification146.1745531892 ≈ 21367

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How the answer is calculated

We solve x2 = 21367. The resulting value is x = 146.174553189.

Verification: 146.1745531892 ≈ 21367.

Simplified radical form

The square root of 21367 in simplified radical form is √21367.

There are no square factors that can be taken outside the radical, so √21367 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21364146.1642911247
√21365146.1677118929
√21366146.171132581
√21367146.174553189
√21368146.177973717
√21369146.1813941649
√21370146.1848145328

Number properties

Is 21367 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21367 is irrational because 21367 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 21367.