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What is the Square Root of 21397?

The square root of 21397 is 146.277134235. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21397 = 146.277134235
CalculatedNon-perfect squareIrrational
Exact form√21397
Perfect squareNo
Number typeIrrational
Verification146.2771342352 ≈ 21397

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How the answer is calculated

We solve x2 = 21397. The resulting value is x = 146.277134235.

Verification: 146.2771342352 ≈ 21397.

Simplified radical form

The square root of 21397 in simplified radical form is √21397.

There are no square factors that can be taken outside the radical, so √21397 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21394146.2668793678
√21395146.2702977368
√21396146.2737160258
√21397146.277134235
√21398146.2805523643
√21399146.2839704137
√21400146.2873883833

Number properties

Is 21397 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21397 is irrational because 21397 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 21397.