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What is the Square Root of 27920?

The square root of 27920 is 167.0927885936. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27920 = 167.0927885936
CalculatedNon-perfect squareIrrational
Exact form√27920
Perfect squareNo
Number typeIrrational
Verification167.09278859362 ≈ 27920

On this page

How the answer is calculated

We solve x2 = 27920. The resulting value is x = 167.0927885936.

Verification: 167.09278859362 ≈ 27920.

Simplified radical form

The square root of 27920 in simplified radical form is 4√1745.

This is equivalent to √27920, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27917167.0838113044
√27918167.0868037877
√27919167.0897962175
√27920167.0927885936
√27921167.0957809162
√27922167.0987731852
√27923167.1017654006

Number properties

Is 27920 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27920 is irrational because 27920 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 27920.