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What is the Square Root of 21401?

The square root of 21401 is 146.290806273. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21401 = 146.290806273
CalculatedNon-perfect squareIrrational
Exact form√21401
Perfect squareNo
Number typeIrrational
Verification146.2908062732 ≈ 21401

On this page

How the answer is calculated

We solve x2 = 21401. The resulting value is x = 146.290806273.

Verification: 146.2908062732 ≈ 21401.

Simplified radical form

The square root of 21401 in simplified radical form is √21401.

There are no square factors that can be taken outside the radical, so √21401 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21398146.2805523643
√21399146.2839704137
√21400146.2873883833
√21401146.290806273
√21402146.2942240828
√21403146.2976418128
√21404146.301059463

Number properties

Is 21401 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21401 is irrational because 21401 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 21401.