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What is the Square Root of 27496?

The square root of 27496 is 165.8191786254. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27496 = 165.8191786254
CalculatedNon-perfect squareIrrational
Exact form√27496
Perfect squareNo
Number typeIrrational
Verification165.81917862542 ≈ 27496

On this page

How the answer is calculated

We solve x2 = 27496. The resulting value is x = 165.8191786254.

Verification: 165.81917862542 ≈ 27496.

Simplified radical form

The square root of 27496 in simplified radical form is 2√6874.

This is equivalent to √27496, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27493165.8101323804
√27494165.8131478502
√27495165.8161632652
√27496165.8191786254
√27497165.8221939307
√27498165.8252091812
√27499165.8282243769

Number properties

Is 27496 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27496 is irrational because 27496 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 27496.