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What is the Square Root of 27397?

The square root of 27397 is 165.520391493. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27397 = 165.520391493
CalculatedNon-perfect squareIrrational
Exact form√27397
Perfect squareNo
Number typeIrrational
Verification165.5203914932 ≈ 27397

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How the answer is calculated

We solve x2 = 27397. The resulting value is x = 165.520391493.

Verification: 165.5203914932 ≈ 27397.

Simplified radical form

The square root of 27397 in simplified radical form is √27397.

There are no square factors that can be taken outside the radical, so √27397 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27394165.5113289174
√27395165.5143498311
√27396165.5173706896
√27397165.520391493
√27398165.5234122413
√27399165.5264329344
√27400165.5294535725

Number properties

Is 27397 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27397 is irrational because 27397 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 27397.