What is the Square Root of 21352?

The square root of 21352 is 146.1232356609. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21352 = 146.1232356609
CalculatedNon-perfect squareIrrational
Exact form√21352
Perfect squareNo
Number typeIrrational
Verification146.12323566092 ≈ 21352

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How the answer is calculated

We solve x2 = 21352. The resulting value is x = 146.1232356609.

Verification: 146.12323566092 ≈ 21352.

Simplified radical form

The square root of 21352 in simplified radical form is 2√5338.

This is equivalent to √21352, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21349146.1129699924
√21350146.116391962
√21351146.1198138515
√21352146.1232356609
√21353146.1266573901
√21354146.1300790392
√21355146.1335006082

Number properties

Is 21352 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21352 is irrational because 21352 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 21352.