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What is the Square Root of 27364?

The square root of 27364 is 165.420675854. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27364 = 165.420675854
CalculatedNon-perfect squareIrrational
Exact form√27364
Perfect squareNo
Number typeIrrational
Verification165.4206758542 ≈ 27364

On this page

How the answer is calculated

We solve x2 = 27364. The resulting value is x = 165.420675854.

Verification: 165.4206758542 ≈ 27364.

Simplified radical form

The square root of 27364 in simplified radical form is 2√6841.

This is equivalent to √27364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27361165.4116078152
√27362165.41463055
√27363165.4176532296
√27364165.420675854
√27365165.4236984232
√27366165.4267209371
√27367165.4297433958

Number properties

Is 27364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27364 is irrational because 27364 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 27364.