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What is the Square Root of 27180?

The square root of 27180 is 164.8635799684. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27180 = 164.8635799684
CalculatedNon-perfect squareIrrational
Exact form√27180
Perfect squareNo
Number typeIrrational
Verification164.86357996842 ≈ 27180

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How the answer is calculated

We solve x2 = 27180. The resulting value is x = 164.8635799684.

Verification: 164.86357996842 ≈ 27180.

Simplified radical form

The square root of 27180 in simplified radical form is 6√755.

This is equivalent to √27180, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27177164.8544812858
√27178164.8575142358
√27179164.86054713
√27180164.8635799684
√27181164.866612751
√27182164.8696454779
√27183164.8726781489

Number properties

Is 27180 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27180 is irrational because 27180 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 27180.