What is the Square Root of 21396?

The square root of 21396 is 146.2737160258. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21396 = 146.2737160258
CalculatedNon-perfect squareIrrational
Exact form√21396
Perfect squareNo
Number typeIrrational
Verification146.27371602582 ≈ 21396

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How the answer is calculated

We solve x2 = 21396. The resulting value is x = 146.2737160258.

Verification: 146.27371602582 ≈ 21396.

Simplified radical form

The square root of 21396 in simplified radical form is 2√5349.

This is equivalent to √21396, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21393146.263460919
√21394146.2668793678
√21395146.2702977368
√21396146.2737160258
√21397146.277134235
√21398146.2805523643
√21399146.2839704137

Number properties

Is 21396 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21396 is irrational because 21396 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 21396.