Square root of 8384

The square root of 8384 is 91.564185 (rounded to 6 decimal places). In simplest radical form it is 8√131.

Square root of 8384

Pick any whole number from 1 to 10,000.

\sqrt{8384} = 8\sqrt{131} \approx 91.564185

How to work it out

1
The square root of 8384 is the number that multiplied by itself gives 8384.
2
8384 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: 8384 = 64 × 131, so
$\sqrt{8384} = \sqrt{64 \times 131} = 8\sqrt{131}$
4
A calculator, or long division of digits, gives
$\sqrt{8384} \approx 91.564185$

LaTeX source of the formulas on this page

\[ \sqrt{8384} = 8\sqrt{131} \approx 91.564185 \]
\[ \sqrt{8384} = \sqrt{64 \times 131} = 8\sqrt{131} \]
\[ \sqrt{8384} \approx 91.564185 \]

What is the square root of 8384?

The square root of 8384 is 91.564185 (rounded to 6 decimal places). In simplest radical form it is 8√131.

Is 8384 a perfect square?

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

What is 8384 squared?

8384 × 8384 = 70291456.

What is the square root of 8384 rounded to 2 decimals?

91.56.