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What is the Square Root of 2989?

The square root of 2989 is 54.6717477313. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2989 = 54.6717477313
CalculatedNon-perfect squareIrrational
Exact form√2989
Perfect squareNo
Number typeIrrational
Verification54.67174773132 ≈ 2989

On this page

How the answer is calculated

We solve x2 = 2989. The resulting value is x = 54.6717477313.

Verification: 54.67174773132 ≈ 2989.

Simplified radical form

The square root of 2989 in simplified radical form is 7√61.

This is equivalent to √2989, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal542916
Upper or equal553025

Nearby square roots

NumberSquare root
√298654.6443043693
√298754.6534536878
√298854.6626014749
√298954.6717477313
√299054.680892458
√299154.6900356555
√299254.6991773247

Number properties

Is 2989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2989 is irrational because 2989 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 2989.