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What is the Square Root of 21005?

The square root of 21005 is 144.9310180741. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21005 = 144.9310180741
CalculatedNon-perfect squareIrrational
Exact form√21005
Perfect squareNo
Number typeIrrational
Verification144.93101807412 ≈ 21005

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How the answer is calculated

We solve x2 = 21005. The resulting value is x = 144.9310180741.

Verification: 144.93101807412 ≈ 21005.

Simplified radical form

The square root of 21005 in simplified radical form is √21005.

There are no square factors that can be taken outside the radical, so √21005 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21002144.9206679532
√21003144.9241180756
√21004144.9275681159
√21005144.9310180741
√21006144.9344679502
√21007144.9379177441
√21008144.9413674559

Number properties

Is 21005 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21005 is irrational because 21005 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 21005.