What is the Square Root of 1988?

The square root of 1988 is 44.5869936192. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1988 = 44.5869936192
CalculatedNon-perfect squareIrrational
Exact form√1988
Perfect squareNo
Number typeIrrational
Verification44.58699361922 ≈ 1988

On this page

How the answer is calculated

We solve x2 = 1988. The resulting value is x = 44.5869936192.

Verification: 44.58699361922 ≈ 1988.

Simplified radical form

The square root of 1988 in simplified radical form is 2√497.

This is equivalent to √1988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√198544.5533388199
√198644.5645599103
√198744.575778176
√198844.5869936192
√198944.598206242
√199044.6094160464
√199144.6206230346

Number properties

Is 1988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1988 is irrational because 1988 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 1988.