Square root of 8208

The square root of 8208 is 90.598013 (rounded to 6 decimal places). In simplest radical form it is 12√57.

Square root of 8208

Pick any whole number from 1 to 10,000.

\sqrt{8208} = 12\sqrt{57} \approx 90.598013

How to work it out

1
The square root of 8208 is the number that multiplied by itself gives 8208.
2
8208 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: 8208 = 144 × 57, so
$\sqrt{8208} = \sqrt{144 \times 57} = 12\sqrt{57}$
4
A calculator, or long division of digits, gives
$\sqrt{8208} \approx 90.598013$

LaTeX source of the formulas on this page

\[ \sqrt{8208} = 12\sqrt{57} \approx 90.598013 \]
\[ \sqrt{8208} = \sqrt{144 \times 57} = 12\sqrt{57} \]
\[ \sqrt{8208} \approx 90.598013 \]

What is the square root of 8208?

The square root of 8208 is 90.598013 (rounded to 6 decimal places). In simplest radical form it is 12√57.

Is 8208 a perfect square?

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

What is 8208 squared?

8208 × 8208 = 67371264.

What is the square root of 8208 rounded to 2 decimals?

90.60.