Square root of 8721

The square root of 8721 is 93.386294 (rounded to 6 decimal places). In simplest radical form it is 3√969.

Square root of 8721

Pick any whole number from 1 to 10,000.

\sqrt{8721} = 3\sqrt{969} \approx 93.386294

How to work it out

1
The square root of 8721 is the number that multiplied by itself gives 8721.
2
8721 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: 8721 = 9 × 969, so
$\sqrt{8721} = \sqrt{9 \times 969} = 3\sqrt{969}$
4
A calculator, or long division of digits, gives
$\sqrt{8721} \approx 93.386294$

LaTeX source of the formulas on this page

\[ \sqrt{8721} = 3\sqrt{969} \approx 93.386294 \]
\[ \sqrt{8721} = \sqrt{9 \times 969} = 3\sqrt{969} \]
\[ \sqrt{8721} \approx 93.386294 \]

What is the square root of 8721?

The square root of 8721 is 93.386294 (rounded to 6 decimal places). In simplest radical form it is 3√969.

Is 8721 a perfect square?

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

What is 8721 squared?

8721 × 8721 = 76055841.

What is the square root of 8721 rounded to 2 decimals?

93.39.