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What is the Square Root of 27315?

The square root of 27315 is 165.2725022501. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27315 = 165.2725022501
CalculatedNon-perfect squareIrrational
Exact form√27315
Perfect squareNo
Number typeIrrational
Verification165.27250225012 ≈ 27315

On this page

How the answer is calculated

We solve x2 = 27315. The resulting value is x = 165.2725022501.

Verification: 165.27250225012 ≈ 27315.

Simplified radical form

The square root of 27315 in simplified radical form is 3√3035.

This is equivalent to √27315, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27312165.2634260809
√27313165.266451526
√27314165.2694769157
√27315165.2725022501
√27316165.275527529
√27317165.2785527526
√27318165.2815779208

Number properties

Is 27315 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27315 is irrational because 27315 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 27315.