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What is the Square Root of 21082?

The square root of 21082 is 145.1964186886. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21082 = 145.1964186886
CalculatedNon-perfect squareIrrational
Exact form√21082
Perfect squareNo
Number typeIrrational
Verification145.19641868862 ≈ 21082

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How the answer is calculated

We solve x2 = 21082. The resulting value is x = 145.1964186886.

Verification: 145.19641868862 ≈ 21082.

Simplified radical form

The square root of 21082 in simplified radical form is √21082.

There are no square factors that can be taken outside the radical, so √21082 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21079145.1860874877
√21080145.1895313031
√21081145.1929750367
√21082145.1964186886
√21083145.1998622589
√21084145.2033057475
√21085145.2067491544

Number properties

Is 21082 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21082 is irrational because 21082 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 21082.