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What is the Square Root of 21357?

The square root of 21357 is 146.1403435058. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21357 = 146.1403435058
CalculatedNon-perfect squareIrrational
Exact form√21357
Perfect squareNo
Number typeIrrational
Verification146.14034350582 ≈ 21357

On this page

How the answer is calculated

We solve x2 = 21357. The resulting value is x = 146.1403435058.

Verification: 146.14034350582 ≈ 21357.

Simplified radical form

The square root of 21357 in simplified radical form is 3√2373.

This is equivalent to √21357, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21354146.1300790392
√21355146.1335006082
√21356146.1369220971
√21357146.1403435058
√21358146.1437648345
√21359146.1471860831
√21360146.1506072516

Number properties

Is 21357 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21357 is irrational because 21357 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 21357.