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What is the Square Root of 27508?

The square root of 27508 is 165.8553586713. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27508 = 165.8553586713
CalculatedNon-perfect squareIrrational
Exact form√27508
Perfect squareNo
Number typeIrrational
Verification165.85535867132 ≈ 27508

On this page

How the answer is calculated

We solve x2 = 27508. The resulting value is x = 165.8553586713.

Verification: 165.85535867132 ≈ 27508.

Simplified radical form

The square root of 27508 in simplified radical form is 46√13.

This is equivalent to √27508, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27505165.8463143998
√27506165.8493292118
√27507165.852343969
√27508165.8553586713
√27509165.8583733189
√27510165.8613879117
√27511165.8644024497

Number properties

Is 27508 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27508 is irrational because 27508 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 27508.