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What is the Square Root of 21400?

The square root of 21400 is 146.2873883833. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21400 = 146.2873883833
CalculatedNon-perfect squareIrrational
Exact form√21400
Perfect squareNo
Number typeIrrational
Verification146.28738838332 ≈ 21400

On this page

How the answer is calculated

We solve x2 = 21400. The resulting value is x = 146.2873883833.

Verification: 146.28738838332 ≈ 21400.

Simplified radical form

The square root of 21400 in simplified radical form is 10√214.

This is equivalent to √21400, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21397146.277134235
√21398146.2805523643
√21399146.2839704137
√21400146.2873883833
√21401146.290806273
√21402146.2942240828
√21403146.2976418128

Number properties

Is 21400 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21400 is irrational because 21400 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 21400.