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What is the Square Root of 27484?

The square root of 27484 is 165.7829906836. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27484 = 165.7829906836
CalculatedNon-perfect squareIrrational
Exact form√27484
Perfect squareNo
Number typeIrrational
Verification165.78299068362 ≈ 27484

On this page

How the answer is calculated

We solve x2 = 27484. The resulting value is x = 165.7829906836.

Verification: 165.78299068362 ≈ 27484.

Simplified radical form

The square root of 27484 in simplified radical form is 2√6871.

This is equivalent to √27484, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27481165.7739424638
√27482165.776958592
√27483165.7799746652
√27484165.7829906836
√27485165.7860066471
√27486165.7890225558
√27487165.7920384096

Number properties

Is 27484 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27484 is irrational because 27484 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 27484.