Square root of 7983

The square root of 7983 is 89.347636 (rounded to 6 decimal places). In simplest radical form it is 3√887.

Square root of 7983

Pick any whole number from 1 to 10,000.

\sqrt{7983} = 3\sqrt{887} \approx 89.347636

How to work it out

1
The square root of 7983 is the number that multiplied by itself gives 7983.
2
7983 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: 7983 = 9 × 887, so
$\sqrt{7983} = \sqrt{9 \times 887} = 3\sqrt{887}$
4
A calculator, or long division of digits, gives
$\sqrt{7983} \approx 89.347636$

LaTeX source of the formulas on this page

\[ \sqrt{7983} = 3\sqrt{887} \approx 89.347636 \]
\[ \sqrt{7983} = \sqrt{9 \times 887} = 3\sqrt{887} \]
\[ \sqrt{7983} \approx 89.347636 \]

What is the square root of 7983?

The square root of 7983 is 89.347636 (rounded to 6 decimal places). In simplest radical form it is 3√887.

Is 7983 a perfect square?

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

What is 7983 squared?

7983 × 7983 = 63728289.

What is the square root of 7983 rounded to 2 decimals?

89.35.