Square root of 8739

The square root of 8739 is 93.482619 (rounded to 6 decimal places). In simplest radical form it is 3√971.

Square root of 8739

Pick any whole number from 1 to 10,000.

\sqrt{8739} = 3\sqrt{971} \approx 93.482619

How to work it out

1
The square root of 8739 is the number that multiplied by itself gives 8739.
2
8739 is between the perfect squares 93² = 8649 and 94² = 8836, so its square root is between 93 and 94.
3
Pull out the biggest square factor: 8739 = 9 × 971, so
$\sqrt{8739} = \sqrt{9 \times 971} = 3\sqrt{971}$
4
A calculator, or long division of digits, gives
$\sqrt{8739} \approx 93.482619$

LaTeX source of the formulas on this page

\[ \sqrt{8739} = 3\sqrt{971} \approx 93.482619 \]
\[ \sqrt{8739} = \sqrt{9 \times 971} = 3\sqrt{971} \]
\[ \sqrt{8739} \approx 93.482619 \]

What is the square root of 8739?

The square root of 8739 is 93.482619 (rounded to 6 decimal places). In simplest radical form it is 3√971.

Is 8739 a perfect square?

No. It lies between 93² = 8649 and 94² = 8836.

What is 8739 squared?

8739 × 8739 = 76370121.

What is the square root of 8739 rounded to 2 decimals?

93.48.