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What is the Square Root of 21052?

The square root of 21052 is 145.0930735769. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21052 = 145.0930735769
CalculatedNon-perfect squareIrrational
Exact form√21052
Perfect squareNo
Number typeIrrational
Verification145.09307357692 ≈ 21052

On this page

How the answer is calculated

We solve x2 = 21052. The resulting value is x = 145.0930735769.

Verification: 145.09307357692 ≈ 21052.

Simplified radical form

The square root of 21052 in simplified radical form is 2√5263.

This is equivalent to √21052, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21049145.082735017
√21050145.0861812855
√21051145.0896274721
√21052145.0930735769
√21053145.0965195999
√21054145.099965541
√21055145.1034114003

Number properties

Is 21052 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21052 is irrational because 21052 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 21052.