Square root of 8388

The square root of 8388 is 91.586025 (rounded to 6 decimal places). In simplest radical form it is 6√233.

Square root of 8388

Pick any whole number from 1 to 10,000.

\sqrt{8388} = 6\sqrt{233} \approx 91.586025

How to work it out

1
The square root of 8388 is the number that multiplied by itself gives 8388.
2
8388 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: 8388 = 36 × 233, so
$\sqrt{8388} = \sqrt{36 \times 233} = 6\sqrt{233}$
4
A calculator, or long division of digits, gives
$\sqrt{8388} \approx 91.586025$

LaTeX source of the formulas on this page

\[ \sqrt{8388} = 6\sqrt{233} \approx 91.586025 \]
\[ \sqrt{8388} = \sqrt{36 \times 233} = 6\sqrt{233} \]
\[ \sqrt{8388} \approx 91.586025 \]

What is the square root of 8388?

The square root of 8388 is 91.586025 (rounded to 6 decimal places). In simplest radical form it is 6√233.

Is 8388 a perfect square?

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

What is 8388 squared?

8388 × 8388 = 70358544.

What is the square root of 8388 rounded to 2 decimals?

91.59.