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What is the Square Root of 27204?

The square root of 27204 is 164.9363513602. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27204 = 164.9363513602
CalculatedNon-perfect squareIrrational
Exact form√27204
Perfect squareNo
Number typeIrrational
Verification164.93635136022 ≈ 27204

On this page

How the answer is calculated

We solve x2 = 27204. The resulting value is x = 164.9363513602.

Verification: 164.93635136022 ≈ 27204.

Simplified radical form

The square root of 27204 in simplified radical form is 2√6801.

This is equivalent to √27204, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27201164.9272566922
√27202164.9302883039
√27203164.9333198599
√27204164.9363513602
√27205164.9393828047
√27206164.9424141936
√27207164.9454455267

Number properties

Is 27204 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27204 is irrational because 27204 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 27204.