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What is the Square Root of 1996?

The square root of 1996 is 44.6766158074. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1996 = 44.6766158074
CalculatedNon-perfect squareIrrational
Exact form√1996
Perfect squareNo
Number typeIrrational
Verification44.67661580742 ≈ 1996

On this page

How the answer is calculated

We solve x2 = 1996. The resulting value is x = 44.6766158074.

Verification: 44.67661580742 ≈ 1996.

Simplified radical form

The square root of 1996 in simplified radical form is 2√499.

This is equivalent to √1996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√199344.6430285711
√199444.6542271235
√199544.6654228683
√199644.6766158074
√199744.687805943
√199844.6989932773
√199944.7101778122

Number properties

Is 1996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1996 is irrational because 1996 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 1996.