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What is the Square Root of 27084?

The square root of 27084 is 164.5721726174. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27084 = 164.5721726174
CalculatedNon-perfect squareIrrational
Exact form√27084
Perfect squareNo
Number typeIrrational
Verification164.57217261742 ≈ 27084

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How the answer is calculated

We solve x2 = 27084. The resulting value is x = 164.5721726174.

Verification: 164.57217261742 ≈ 27084.

Simplified radical form

The square root of 27084 in simplified radical form is 2√6771.

This is equivalent to √27084, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27081164.5630578228
√27082164.5660961438
√27083164.5691344086
√27084164.5721726174
√27085164.57521077
√27086164.5782488666
√27087164.5812869071

Number properties

Is 27084 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27084 is irrational because 27084 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 27084.