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What is the Square Root of 27168?

The square root of 27168 is 164.8271822243. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27168 = 164.8271822243
CalculatedNon-perfect squareIrrational
Exact form√27168
Perfect squareNo
Number typeIrrational
Verification164.82718222432 ≈ 27168

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How the answer is calculated

We solve x2 = 27168. The resulting value is x = 164.8271822243.

Verification: 164.82718222432 ≈ 27168.

Simplified radical form

The square root of 27168 in simplified radical form is 4√1698.

This is equivalent to √27168, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27165164.8180815323
√27166164.8211151522
√27167164.8241487161
√27168164.8271822243
√27169164.8302156766
√27170164.8332490731
√27171164.8362824138

Number properties

Is 27168 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27168 is irrational because 27168 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 27168.