Square root of 8361

The square root of 8361 is 91.438504 (rounded to 6 decimal places). In simplest radical form it is 3√929.

Square root of 8361

Pick any whole number from 1 to 10,000.

\sqrt{8361} = 3\sqrt{929} \approx 91.438504

How to work it out

1
The square root of 8361 is the number that multiplied by itself gives 8361.
2
8361 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: 8361 = 9 × 929, so
$\sqrt{8361} = \sqrt{9 \times 929} = 3\sqrt{929}$
4
A calculator, or long division of digits, gives
$\sqrt{8361} \approx 91.438504$

LaTeX source of the formulas on this page

\[ \sqrt{8361} = 3\sqrt{929} \approx 91.438504 \]
\[ \sqrt{8361} = \sqrt{9 \times 929} = 3\sqrt{929} \]
\[ \sqrt{8361} \approx 91.438504 \]

What is the square root of 8361?

The square root of 8361 is 91.438504 (rounded to 6 decimal places). In simplest radical form it is 3√929.

Is 8361 a perfect square?

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

What is 8361 squared?

8361 × 8361 = 69906321.

What is the square root of 8361 rounded to 2 decimals?

91.44.