Square root of 8496

The square root of 8496 is 92.173749 (rounded to 6 decimal places). In simplest radical form it is 12√59.

Square root of 8496

Pick any whole number from 1 to 10,000.

\sqrt{8496} = 12\sqrt{59} \approx 92.173749

How to work it out

1
The square root of 8496 is the number that multiplied by itself gives 8496.
2
8496 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: 8496 = 144 × 59, so
$\sqrt{8496} = \sqrt{144 \times 59} = 12\sqrt{59}$
4
A calculator, or long division of digits, gives
$\sqrt{8496} \approx 92.173749$

LaTeX source of the formulas on this page

\[ \sqrt{8496} = 12\sqrt{59} \approx 92.173749 \]
\[ \sqrt{8496} = \sqrt{144 \times 59} = 12\sqrt{59} \]
\[ \sqrt{8496} \approx 92.173749 \]

What is the square root of 8496?

The square root of 8496 is 92.173749 (rounded to 6 decimal places). In simplest radical form it is 12√59.

Is 8496 a perfect square?

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

What is 8496 squared?

8496 × 8496 = 72182016.

What is the square root of 8496 rounded to 2 decimals?

92.17.