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What is the Square Root of 21468?

The square root of 21468 is 146.5196232591. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21468 = 146.5196232591
CalculatedNon-perfect squareIrrational
Exact form√21468
Perfect squareNo
Number typeIrrational
Verification146.51962325912 ≈ 21468

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How the answer is calculated

We solve x2 = 21468. The resulting value is x = 146.5196232591.

Verification: 146.51962325912 ≈ 21468.

Simplified radical form

The square root of 21468 in simplified radical form is 2√5367.

This is equivalent to √21468, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21465146.5093853649
√21466146.5127980758
√21467146.5162107072
√21468146.5196232591
√21469146.5230357316
√21470146.5264481246
√21471146.5298604381

Number properties

Is 21468 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21468 is irrational because 21468 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 21468.