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What is the Square Root of 21460?

The square root of 21460 is 146.4923206178. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21460 = 146.4923206178
CalculatedNon-perfect squareIrrational
Exact form√21460
Perfect squareNo
Number typeIrrational
Verification146.49232061782 ≈ 21460

On this page

How the answer is calculated

We solve x2 = 21460. The resulting value is x = 146.4923206178.

Verification: 146.49232061782 ≈ 21460.

Simplified radical form

The square root of 21460 in simplified radical form is 2√5365.

This is equivalent to √21460, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21457146.4820808154
√21458146.4854941624
√21459146.4889074299
√21460146.4923206178
√21461146.4957337263
√21462146.4991467552
√21463146.5025597046

Number properties

Is 21460 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21460 is irrational because 21460 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 21460.