What is the Square Root of 3988?

The square root of 3988 is 63.1506136154. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3988 = 63.1506136154
CalculatedNon-perfect squareIrrational
Exact form√3988
Perfect squareNo
Number typeIrrational
Verification63.15061361542 ≈ 3988

On this page

How the answer is calculated

We solve x2 = 3988. The resulting value is x = 63.1506136154.

Verification: 63.15061361542 ≈ 3988.

Simplified radical form

The square root of 3988 in simplified radical form is 2√997.

This is equivalent to √3988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal633969
Upper or equal644096

Nearby square roots

NumberSquare root
√398563.1268564083
√398663.1347764707
√398763.1426955395
√398863.1506136154
√398963.1585306986
√399063.1664467894
√399163.1743618883

Number properties

Is 3988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3988 is irrational because 3988 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 3988.