Square root of 8608

The square root of 8608 is 92.779308 (rounded to 6 decimal places). In simplest radical form it is 4√538.

Square root of 8608

Pick any whole number from 1 to 10,000.

\sqrt{8608} = 4\sqrt{538} \approx 92.779308

How to work it out

1
The square root of 8608 is the number that multiplied by itself gives 8608.
2
8608 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8608 = 16 × 538, so
$\sqrt{8608} = \sqrt{16 \times 538} = 4\sqrt{538}$
4
A calculator, or long division of digits, gives
$\sqrt{8608} \approx 92.779308$

LaTeX source of the formulas on this page

\[ \sqrt{8608} = 4\sqrt{538} \approx 92.779308 \]
\[ \sqrt{8608} = \sqrt{16 \times 538} = 4\sqrt{538} \]
\[ \sqrt{8608} \approx 92.779308 \]

What is the square root of 8608?

The square root of 8608 is 92.779308 (rounded to 6 decimal places). In simplest radical form it is 4√538.

Is 8608 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8608 squared?

8608 × 8608 = 74097664.

What is the square root of 8608 rounded to 2 decimals?

92.78.