What is the Square Root of 2891?

The square root of 2891 is 53.7680202351. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2891 = 53.7680202351
CalculatedNon-perfect squareIrrational
Exact form√2891
Perfect squareNo
Number typeIrrational
Verification53.76802023512 ≈ 2891

On this page

How the answer is calculated

We solve x2 = 2891. The resulting value is x = 53.7680202351.

Verification: 53.76802023512 ≈ 2891.

Simplified radical form

The square root of 2891 in simplified radical form is 7√59.

This is equivalent to √2891, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal532809
Upper or equal542916

Nearby square roots

NumberSquare root
√288853.7401153702
√288953.7494186015
√289053.7587202229
√289153.7680202351
√289253.777318639
√289353.7866154354
√289453.7959106253

Number properties

Is 2891 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2891 is irrational because 2891 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 2891.