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What is the Square Root of 27009?

The square root of 27009 is 164.3441510976. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27009 = 164.3441510976
CalculatedNon-perfect squareIrrational
Exact form√27009
Perfect squareNo
Number typeIrrational
Verification164.34415109762 ≈ 27009

On this page

How the answer is calculated

We solve x2 = 27009. The resulting value is x = 164.3441510976.

Verification: 164.34415109762 ≈ 27009.

Simplified radical form

The square root of 27009 in simplified radical form is 3√3001.

This is equivalent to √27009, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27006164.3350236559
√27007164.3380661928
√27008164.3411086734
√27009164.3441510976
√27010164.3471934655
√27011164.3502357771
√27012164.3532780324

Number properties

Is 27009 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27009 is irrational because 27009 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 27009.