Square root of 8232

The square root of 8232 is 90.73037 (rounded to 6 decimal places). In simplest radical form it is 14√42.

Square root of 8232

Pick any whole number from 1 to 10,000.

\sqrt{8232} = 14\sqrt{42} \approx 90.73037

How to work it out

1
The square root of 8232 is the number that multiplied by itself gives 8232.
2
8232 is between the perfect squares 90² = 8100 and 91² = 8281, so its square root is between 90 and 91.
3
Pull out the biggest square factor: 8232 = 196 × 42, so
$\sqrt{8232} = \sqrt{196 \times 42} = 14\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{8232} \approx 90.73037$

LaTeX source of the formulas on this page

\[ \sqrt{8232} = 14\sqrt{42} \approx 90.73037 \]
\[ \sqrt{8232} = \sqrt{196 \times 42} = 14\sqrt{42} \]
\[ \sqrt{8232} \approx 90.73037 \]

What is the square root of 8232?

The square root of 8232 is 90.73037 (rounded to 6 decimal places). In simplest radical form it is 14√42.

Is 8232 a perfect square?

No. It lies between 90² = 8100 and 91² = 8281.

What is 8232 squared?

8232 × 8232 = 67765824.

What is the square root of 8232 rounded to 2 decimals?

90.73.