Square root of 8332

The square root of 8332 is 91.27979 (rounded to 6 decimal places). In simplest radical form it is 2√2083.

Square root of 8332

Pick any whole number from 1 to 10,000.

\sqrt{8332} = 2\sqrt{2083} \approx 91.27979

How to work it out

1
The square root of 8332 is the number that multiplied by itself gives 8332.
2
8332 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: 8332 = 4 × 2083, so
$\sqrt{8332} = \sqrt{4 \times 2083} = 2\sqrt{2083}$
4
A calculator, or long division of digits, gives
$\sqrt{8332} \approx 91.27979$

LaTeX source of the formulas on this page

\[ \sqrt{8332} = 2\sqrt{2083} \approx 91.27979 \]
\[ \sqrt{8332} = \sqrt{4 \times 2083} = 2\sqrt{2083} \]
\[ \sqrt{8332} \approx 91.27979 \]

What is the square root of 8332?

The square root of 8332 is 91.27979 (rounded to 6 decimal places). In simplest radical form it is 2√2083.

Is 8332 a perfect square?

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

What is 8332 squared?

8332 × 8332 = 69422224.

What is the square root of 8332 rounded to 2 decimals?

91.28.