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What is the Square Root of 27209?

The square root of 27209 is 164.9515080258. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27209 = 164.9515080258
CalculatedNon-perfect squareIrrational
Exact form√27209
Perfect squareNo
Number typeIrrational
Verification164.95150802582 ≈ 27209

On this page

How the answer is calculated

We solve x2 = 27209. The resulting value is x = 164.9515080258.

Verification: 164.95150802582 ≈ 27209.

Simplified radical form

The square root of 27209 in simplified radical form is 13√161.

This is equivalent to √27209, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27206164.9424141936
√27207164.9454455267
√27208164.9484768041
√27209164.9515080258
√27210164.9545391919
√27211164.9575703022
√27212164.9606013568

Number properties

Is 27209 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27209 is irrational because 27209 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 27209.