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What is the Square Root of 21395?

The square root of 21395 is 146.2702977368. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21395 = 146.2702977368
CalculatedNon-perfect squareIrrational
Exact form√21395
Perfect squareNo
Number typeIrrational
Verification146.27029773682 ≈ 21395

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How the answer is calculated

We solve x2 = 21395. The resulting value is x = 146.2702977368.

Verification: 146.27029773682 ≈ 21395.

Simplified radical form

The square root of 21395 in simplified radical form is √21395.

There are no square factors that can be taken outside the radical, so √21395 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21392146.2600423903
√21393146.263460919
√21394146.2668793678
√21395146.2702977368
√21396146.2737160258
√21397146.277134235
√21398146.2805523643

Number properties

Is 21395 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21395 is irrational because 21395 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 21395.