What is the Square Root of 291?

The square root of 291 is 17.0587221092. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√291 = 17.0587221092
CalculatedNon-perfect squareIrrational
Exact form√291
Perfect squareNo
Number typeIrrational
Verification17.05872210922 ≈ 291

On this page

How the answer is calculated

We solve x2 = 291. The resulting value is x = 17.0587221092.

Verification: 17.05872210922 ≈ 291.

Simplified radical form

The square root of 291 in simplified radical form is √291.

There are no square factors that can be taken outside the radical, so √291 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√28816.9705627485
√28917
√29017.0293863659
√29117.0587221092
√29217.0880074906
√29317.1172427686
√29417.1464281995

Number properties

Is 291 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√291 is irrational because 291 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 291.