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What is the Square Root of 27164?

The square root of 27164 is 164.8150478567. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27164 = 164.8150478567
CalculatedNon-perfect squareIrrational
Exact form√27164
Perfect squareNo
Number typeIrrational
Verification164.81504785672 ≈ 27164

On this page

How the answer is calculated

We solve x2 = 27164. The resulting value is x = 164.8150478567.

Verification: 164.81504785672 ≈ 27164.

Simplified radical form

The square root of 27164 in simplified radical form is 2√6791.

This is equivalent to √27164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27161164.8059464947
√27162164.8089803378
√27163164.8120141252
√27164164.8150478567
√27165164.8180815323
√27166164.8211151522
√27167164.8241487161

Number properties

Is 27164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27164 is irrational because 27164 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 27164.