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What is the Square Root of 21001?

The square root of 21001 is 144.9172177486. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21001 = 144.9172177486
CalculatedNon-perfect squareIrrational
Exact form√21001
Perfect squareNo
Number typeIrrational
Verification144.91721774862 ≈ 21001

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How the answer is calculated

We solve x2 = 21001. The resulting value is x = 144.9172177486.

Verification: 144.91721774862 ≈ 21001.

Simplified radical form

The square root of 21001 in simplified radical form is √21001.

There are no square factors that can be taken outside the radical, so √21001 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20998144.906866642
√20999144.910317093
√21000144.9137674619
√21001144.9172177486
√21002144.9206679532
√21003144.9241180756
√21004144.9275681159

Number properties

Is 21001 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21001 is irrational because 21001 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 21001.