Square root of 1992

The square root of 1992 is 44.631827 (rounded to 6 decimal places). In simplest radical form it is 2√498.

Square root of 1992

Pick any whole number from 1 to 10,000.

\sqrt{1992} = 2\sqrt{498} \approx 44.631827

How to work it out

1
The square root of 1992 is the number that multiplied by itself gives 1992.
2
1992 is between the perfect squares 44² = 1936 and 45² = 2025, so its square root is between 44 and 45.
3
Pull out the biggest square factor: 1992 = 4 × 498, so
$\sqrt{1992} = \sqrt{4 \times 498} = 2\sqrt{498}$
4
A calculator, or long division of digits, gives
$\sqrt{1992} \approx 44.631827$

LaTeX source of the formulas on this page

\[ \sqrt{1992} = 2\sqrt{498} \approx 44.631827 \]
\[ \sqrt{1992} = \sqrt{4 \times 498} = 2\sqrt{498} \]
\[ \sqrt{1992} \approx 44.631827 \]

What is the square root of 1992?

The square root of 1992 is 44.631827 (rounded to 6 decimal places). In simplest radical form it is 2√498.

Is 1992 a perfect square?

No. It lies between 44² = 1936 and 45² = 2025.

What is 1992 squared?

1992 × 1992 = 3968064.

What is the square root of 1992 rounded to 2 decimals?

44.63.