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What is the Square Root of 21071?

The square root of 21071 is 145.158534024. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21071 = 145.158534024
CalculatedNon-perfect squareIrrational
Exact form√21071
Perfect squareNo
Number typeIrrational
Verification145.1585340242 ≈ 21071

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How the answer is calculated

We solve x2 = 21071. The resulting value is x = 145.158534024.

Verification: 145.1585340242 ≈ 21071.

Simplified radical form

The square root of 21071 in simplified radical form is √21071.

There are no square factors that can be taken outside the radical, so √21071 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21068145.1482001266
√21069145.1516448408
√21070145.1550894733
√21071145.158534024
√21072145.161978493
√21073145.1654228802
√21074145.1688671858

Number properties

Is 21071 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21071 is irrational because 21071 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 21071.