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What is the Square Root of 27064?

The square root of 27064 is 164.5113977814. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27064 = 164.5113977814
CalculatedNon-perfect squareIrrational
Exact form√27064
Perfect squareNo
Number typeIrrational
Verification164.51139778142 ≈ 27064

On this page

How the answer is calculated

We solve x2 = 27064. The resulting value is x = 164.5113977814.

Verification: 164.51139778142 ≈ 27064.

Simplified radical form

The square root of 27064 in simplified radical form is 2√6766.

This is equivalent to √27064, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27061164.5022796195
√27062164.5053190629
√27063164.5083584503
√27064164.5113977814
√27065164.5144370564
√27066164.5174762753
√27067164.520515438

Number properties

Is 27064 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27064 is irrational because 27064 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 27064.