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What is the Square Root of 27012?

The square root of 27012 is 164.3532780324. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27012 = 164.3532780324
CalculatedNon-perfect squareIrrational
Exact form√27012
Perfect squareNo
Number typeIrrational
Verification164.35327803242 ≈ 27012

On this page

How the answer is calculated

We solve x2 = 27012. The resulting value is x = 164.3532780324.

Verification: 164.35327803242 ≈ 27012.

Simplified radical form

The square root of 27012 in simplified radical form is 2√6753.

This is equivalent to √27012, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27009164.3441510976
√27010164.3471934655
√27011164.3502357771
√27012164.3532780324
√27013164.3563202314
√27014164.359362374
√27015164.3624044604

Number properties

Is 27012 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27012 is irrational because 27012 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 27012.