Square root of 7996

The square root of 7996 is 89.420356 (rounded to 6 decimal places). In simplest radical form it is 2√1999.

Square root of 7996

Pick any whole number from 1 to 10,000.

\sqrt{7996} = 2\sqrt{1999} \approx 89.420356

How to work it out

1
The square root of 7996 is the number that multiplied by itself gives 7996.
2
7996 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 7996 = 4 × 1999, so
$\sqrt{7996} = \sqrt{4 \times 1999} = 2\sqrt{1999}$
4
A calculator, or long division of digits, gives
$\sqrt{7996} \approx 89.420356$

LaTeX source of the formulas on this page

\[ \sqrt{7996} = 2\sqrt{1999} \approx 89.420356 \]
\[ \sqrt{7996} = \sqrt{4 \times 1999} = 2\sqrt{1999} \]
\[ \sqrt{7996} \approx 89.420356 \]

What is the square root of 7996?

The square root of 7996 is 89.420356 (rounded to 6 decimal places). In simplest radical form it is 2√1999.

Is 7996 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 7996 squared?

7996 × 7996 = 63936016.

What is the square root of 7996 rounded to 2 decimals?

89.42.