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What is the Square Root of 27322?

The square root of 27322 is 165.29367804. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27322 = 165.29367804
CalculatedNon-perfect squareIrrational
Exact form√27322
Perfect squareNo
Number typeIrrational
Verification165.293678042 ≈ 27322

On this page

How the answer is calculated

We solve x2 = 27322. The resulting value is x = 165.29367804.

Verification: 165.293678042 ≈ 27322.

Simplified radical form

The square root of 27322 in simplified radical form is √27322.

There are no square factors that can be taken outside the radical, so √27322 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27319165.2846030337
√27320165.2876280912
√27321165.2906530933
√27322165.29367804
√27323165.2967029314
√27324165.2997277675
√27325165.3027525482

Number properties

Is 27322 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27322 is irrational because 27322 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 27322.