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What is the Square Root of 21372?

The square root of 21372 is 146.1916550286. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21372 = 146.1916550286
CalculatedNon-perfect squareIrrational
Exact form√21372
Perfect squareNo
Number typeIrrational
Verification146.19165502862 ≈ 21372

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How the answer is calculated

We solve x2 = 21372. The resulting value is x = 146.1916550286.

Verification: 146.19165502862 ≈ 21372.

Simplified radical form

The square root of 21372 in simplified radical form is 2√5343.

This is equivalent to √21372, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21369146.1813941649
√21370146.1848145328
√21371146.1882348207
√21372146.1916550286
√21373146.1950751564
√21374146.1984952043
√21375146.2019151721

Number properties

Is 21372 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21372 is irrational because 21372 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 21372.