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What is the Square Root of 21053?

The square root of 21053 is 145.0965195999. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21053 = 145.0965195999
CalculatedNon-perfect squareIrrational
Exact form√21053
Perfect squareNo
Number typeIrrational
Verification145.09651959992 ≈ 21053

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How the answer is calculated

We solve x2 = 21053. The resulting value is x = 145.0965195999.

Verification: 145.09651959992 ≈ 21053.

Simplified radical form

The square root of 21053 in simplified radical form is √21053.

There are no square factors that can be taken outside the radical, so √21053 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21050145.0861812855
√21051145.0896274721
√21052145.0930735769
√21053145.0965195999
√21054145.099965541
√21055145.1034114003
√21056145.1068571777

Number properties

Is 21053 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21053 is irrational because 21053 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 21053.