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What is the Square Root of 27024?

The square root of 27024 is 164.3897807043. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27024 = 164.3897807043
CalculatedNon-perfect squareIrrational
Exact form√27024
Perfect squareNo
Number typeIrrational
Verification164.38978070432 ≈ 27024

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How the answer is calculated

We solve x2 = 27024. The resulting value is x = 164.3897807043.

Verification: 164.38978070432 ≈ 27024.

Simplified radical form

The square root of 27024 in simplified radical form is 4√1689.

This is equivalent to √27024, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27021164.3806557962
√27022164.3836974885
√27023164.3867391245
√27024164.3897807043
√27025164.3928222277
√27026164.3958636949
√27027164.3989051058

Number properties

Is 27024 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27024 is irrational because 27024 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 27024.