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What is the Square Root of 21452?

The square root of 21452 is 146.465012887. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21452 = 146.465012887
CalculatedNon-perfect squareIrrational
Exact form√21452
Perfect squareNo
Number typeIrrational
Verification146.4650128872 ≈ 21452

On this page

How the answer is calculated

We solve x2 = 21452. The resulting value is x = 146.465012887.

Verification: 146.4650128872 ≈ 21452.

Simplified radical form

The square root of 21452 in simplified radical form is 2√5363.

This is equivalent to √21452, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21449146.4547711753
√21450146.4581851588
√21451146.4615990627
√21452146.465012887
√21453146.4684266318
√21454146.471840297
√21455146.4752538827

Number properties

Is 21452 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21452 is irrational because 21452 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 21452.