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What is the Square Root of 21002?

The square root of 21002 is 144.9206679532. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21002 = 144.9206679532
CalculatedNon-perfect squareIrrational
Exact form√21002
Perfect squareNo
Number typeIrrational
Verification144.92066795322 ≈ 21002

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How the answer is calculated

We solve x2 = 21002. The resulting value is x = 144.9206679532.

Verification: 144.92066795322 ≈ 21002.

Simplified radical form

The square root of 21002 in simplified radical form is √21002.

There are no square factors that can be taken outside the radical, so √21002 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20999144.910317093
√21000144.9137674619
√21001144.9172177486
√21002144.9206679532
√21003144.9241180756
√21004144.9275681159
√21005144.9310180741

Number properties

Is 21002 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21002 is irrational because 21002 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 21002.