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What is the Square Root of 27328?

The square root of 27328 is 165.3118265582. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27328 = 165.3118265582
CalculatedNon-perfect squareIrrational
Exact form√27328
Perfect squareNo
Number typeIrrational
Verification165.31182655822 ≈ 27328

On this page

How the answer is calculated

We solve x2 = 27328. The resulting value is x = 165.3118265582.

Verification: 165.31182655822 ≈ 27328.

Simplified radical form

The square root of 27328 in simplified radical form is 8√427.

This is equivalent to √27328, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27325165.3027525482
√27326165.3057772735
√27327165.3088019435
√27328165.3118265582
√27329165.3148511175
√27330165.3178756215
√27331165.3209000701

Number properties

Is 27328 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27328 is irrational because 27328 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 27328.