Square root of 8075

The square root of 8075 is 89.861004 (rounded to 6 decimal places). In simplest radical form it is 5√323.

Square root of 8075

Pick any whole number from 1 to 10,000.

\sqrt{8075} = 5\sqrt{323} \approx 89.861004

How to work it out

1
The square root of 8075 is the number that multiplied by itself gives 8075.
2
8075 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8075 = 25 × 323, so
$\sqrt{8075} = \sqrt{25 \times 323} = 5\sqrt{323}$
4
A calculator, or long division of digits, gives
$\sqrt{8075} \approx 89.861004$

LaTeX source of the formulas on this page

\[ \sqrt{8075} = 5\sqrt{323} \approx 89.861004 \]
\[ \sqrt{8075} = \sqrt{25 \times 323} = 5\sqrt{323} \]
\[ \sqrt{8075} \approx 89.861004 \]

What is the square root of 8075?

The square root of 8075 is 89.861004 (rounded to 6 decimal places). In simplest radical form it is 5√323.

Is 8075 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8075 squared?

8075 × 8075 = 65205625.

What is the square root of 8075 rounded to 2 decimals?

89.86.