Square root of 8275

The square root of 8275 is 90.967027 (rounded to 6 decimal places). In simplest radical form it is 5√331.

Square root of 8275

Pick any whole number from 1 to 10,000.

\sqrt{8275} = 5\sqrt{331} \approx 90.967027

How to work it out

1
The square root of 8275 is the number that multiplied by itself gives 8275.
2
8275 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: 8275 = 25 × 331, so
$\sqrt{8275} = \sqrt{25 \times 331} = 5\sqrt{331}$
4
A calculator, or long division of digits, gives
$\sqrt{8275} \approx 90.967027$

LaTeX source of the formulas on this page

\[ \sqrt{8275} = 5\sqrt{331} \approx 90.967027 \]
\[ \sqrt{8275} = \sqrt{25 \times 331} = 5\sqrt{331} \]
\[ \sqrt{8275} \approx 90.967027 \]

What is the square root of 8275?

The square root of 8275 is 90.967027 (rounded to 6 decimal places). In simplest radical form it is 5√331.

Is 8275 a perfect square?

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

What is 8275 squared?

8275 × 8275 = 68475625.

What is the square root of 8275 rounded to 2 decimals?

90.97.