Square root of 8704

The square root of 8704 is 93.29523 (rounded to 6 decimal places). In simplest radical form it is 16√34.

Square root of 8704

Pick any whole number from 1 to 10,000.

\sqrt{8704} = 16\sqrt{34} \approx 93.29523

How to work it out

1
The square root of 8704 is the number that multiplied by itself gives 8704.
2
8704 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: 8704 = 256 × 34, so
$\sqrt{8704} = \sqrt{256 \times 34} = 16\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{8704} \approx 93.29523$

LaTeX source of the formulas on this page

\[ \sqrt{8704} = 16\sqrt{34} \approx 93.29523 \]
\[ \sqrt{8704} = \sqrt{256 \times 34} = 16\sqrt{34} \]
\[ \sqrt{8704} \approx 93.29523 \]

What is the square root of 8704?

The square root of 8704 is 93.29523 (rounded to 6 decimal places). In simplest radical form it is 16√34.

Is 8704 a perfect square?

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

What is 8704 squared?

8704 × 8704 = 75759616.

What is the square root of 8704 rounded to 2 decimals?

93.30.