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What is the Square Root of 1991?

The square root of 1991 is 44.6206230346. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1991 = 44.6206230346
CalculatedNon-perfect squareIrrational
Exact form√1991
Perfect squareNo
Number typeIrrational
Verification44.62062303462 ≈ 1991

On this page

How the answer is calculated

We solve x2 = 1991. The resulting value is x = 44.6206230346.

Verification: 44.62062303462 ≈ 1991.

Simplified radical form

The square root of 1991 in simplified radical form is √1991.

There are no square factors that can be taken outside the radical, so √1991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√198844.5869936192
√198944.598206242
√199044.6094160464
√199144.6206230346
√199244.6318272088
√199344.6430285711
√199444.6542271235

Number properties

Is 1991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1991 is irrational because 1991 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 1991.