Square root of 8352

The square root of 8352 is 91.389277 (rounded to 6 decimal places). In simplest radical form it is 12√58.

Square root of 8352

Pick any whole number from 1 to 10,000.

\sqrt{8352} = 12\sqrt{58} \approx 91.389277

How to work it out

1
The square root of 8352 is the number that multiplied by itself gives 8352.
2
8352 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8352 = 144 × 58, so
$\sqrt{8352} = \sqrt{144 \times 58} = 12\sqrt{58}$
4
A calculator, or long division of digits, gives
$\sqrt{8352} \approx 91.389277$

LaTeX source of the formulas on this page

\[ \sqrt{8352} = 12\sqrt{58} \approx 91.389277 \]
\[ \sqrt{8352} = \sqrt{144 \times 58} = 12\sqrt{58} \]
\[ \sqrt{8352} \approx 91.389277 \]

What is the square root of 8352?

The square root of 8352 is 91.389277 (rounded to 6 decimal places). In simplest radical form it is 12√58.

Is 8352 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8352 squared?

8352 × 8352 = 69755904.

What is the square root of 8352 rounded to 2 decimals?

91.39.