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What is the Square Root of 27940?

The square root of 27940 is 167.1526248672. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27940 = 167.1526248672
CalculatedNon-perfect squareIrrational
Exact form√27940
Perfect squareNo
Number typeIrrational
Verification167.15262486722 ≈ 27940

On this page

How the answer is calculated

We solve x2 = 27940. The resulting value is x = 167.1526248672.

Verification: 167.15262486722 ≈ 27940.

Simplified radical form

The square root of 27940 in simplified radical form is 2√6985.

This is equivalent to √27940, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27937167.1436507918
√27938167.1466422038
√27939167.1496335623
√27940167.1526248672
√27941167.1556161186
√27942167.1586073165
√27943167.1615984609

Number properties

Is 27940 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27940 is irrational because 27940 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 27940.