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What is the Square Root of 1989?

The square root of 1989 is 44.598206242. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1989 = 44.598206242
CalculatedNon-perfect squareIrrational
Exact form√1989
Perfect squareNo
Number typeIrrational
Verification44.5982062422 ≈ 1989

On this page

How the answer is calculated

We solve x2 = 1989. The resulting value is x = 44.598206242.

Verification: 44.5982062422 ≈ 1989.

Simplified radical form

The square root of 1989 in simplified radical form is 3√221.

This is equivalent to √1989, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√198644.5645599103
√198744.575778176
√198844.5869936192
√198944.598206242
√199044.6094160464
√199144.6206230346
√199244.6318272088

Number properties

Is 1989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1989 is irrational because 1989 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 1989.