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What is the Square Root of 27189?

The square root of 27189 is 164.8908730039. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27189 = 164.8908730039
CalculatedNon-perfect squareIrrational
Exact form√27189
Perfect squareNo
Number typeIrrational
Verification164.89087300392 ≈ 27189

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How the answer is calculated

We solve x2 = 27189. The resulting value is x = 164.8908730039.

Verification: 164.89087300392 ≈ 27189.

Simplified radical form

The square root of 27189 in simplified radical form is 3√3021.

This is equivalent to √27189, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27186164.8817758274
√27187164.8848082754
√27188164.8878406675
√27189164.8908730039
√27190164.8939052846
√27191164.8969375095
√27192164.8999696786

Number properties

Is 27189 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27189 is irrational because 27189 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 27189.