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What is the Square Root of 21462?

The square root of 21462 is 146.4991467552. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21462 = 146.4991467552
CalculatedNon-perfect squareIrrational
Exact form√21462
Perfect squareNo
Number typeIrrational
Verification146.49914675522 ≈ 21462

On this page

How the answer is calculated

We solve x2 = 21462. The resulting value is x = 146.4991467552.

Verification: 146.49914675522 ≈ 21462.

Simplified radical form

The square root of 21462 in simplified radical form is 7√438.

This is equivalent to √21462, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21459146.4889074299
√21460146.4923206178
√21461146.4957337263
√21462146.4991467552
√21463146.5025597046
√21464146.5059725745
√21465146.5093853649

Number properties

Is 21462 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21462 is irrational because 21462 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 21462.