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What is the Square Root of 2991?

The square root of 2991 is 54.6900356555. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2991 = 54.6900356555
CalculatedNon-perfect squareIrrational
Exact form√2991
Perfect squareNo
Number typeIrrational
Verification54.69003565552 ≈ 2991

On this page

How the answer is calculated

We solve x2 = 2991. The resulting value is x = 54.6900356555.

Verification: 54.69003565552 ≈ 2991.

Simplified radical form

The square root of 2991 in simplified radical form is √2991.

There are no square factors that can be taken outside the radical, so √2991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal542916
Upper or equal553025

Nearby square roots

NumberSquare root
√298854.6626014749
√298954.6717477313
√299054.680892458
√299154.6900356555
√299254.6991773247
√299354.7083174664
√299454.7174560812

Number properties

Is 2991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2991 is irrational because 2991 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 2991.