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What is the Square Root of 27317?

The square root of 27317 is 165.2785527526. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27317 = 165.2785527526
CalculatedNon-perfect squareIrrational
Exact form√27317
Perfect squareNo
Number typeIrrational
Verification165.27855275262 ≈ 27317

On this page

How the answer is calculated

We solve x2 = 27317. The resulting value is x = 165.2785527526.

Verification: 165.27855275262 ≈ 27317.

Simplified radical form

The square root of 27317 in simplified radical form is √27317.

There are no square factors that can be taken outside the radical, so √27317 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27314165.2694769157
√27315165.2725022501
√27316165.275527529
√27317165.2785527526
√27318165.2815779208
√27319165.2846030337
√27320165.2876280912

Number properties

Is 27317 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27317 is irrational because 27317 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 27317.