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What is the Square Root of 2988?

The square root of 2988 is 54.6626014749. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2988 = 54.6626014749
CalculatedNon-perfect squareIrrational
Exact form√2988
Perfect squareNo
Number typeIrrational
Verification54.66260147492 ≈ 2988

On this page

How the answer is calculated

We solve x2 = 2988. The resulting value is x = 54.6626014749.

Verification: 54.66260147492 ≈ 2988.

Simplified radical form

The square root of 2988 in simplified radical form is 6√83.

This is equivalent to √2988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal542916
Upper or equal553025

Nearby square roots

NumberSquare root
√298554.6351535186
√298654.6443043693
√298754.6534536878
√298854.6626014749
√298954.6717477313
√299054.680892458
√299154.6900356555

Number properties

Is 2988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2988 is irrational because 2988 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 2988.