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What is the Square Root of 27048?

The square root of 27048 is 164.4627617426. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27048 = 164.4627617426
CalculatedNon-perfect squareIrrational
Exact form√27048
Perfect squareNo
Number typeIrrational
Verification164.46276174262 ≈ 27048

On this page

How the answer is calculated

We solve x2 = 27048. The resulting value is x = 164.4627617426.

Verification: 164.46276174262 ≈ 27048.

Simplified radical form

The square root of 27048 in simplified radical form is 14√138.

This is equivalent to √27048, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27045164.453640884
√27046164.4566812264
√27047164.4597215126
√27048164.4627617426
√27049164.4658019164
√27050164.468842034
√27051164.4718820954

Number properties

Is 27048 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27048 is irrational because 27048 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 27048.