Square root of 8085

The square root of 8085 is 89.916628 (rounded to 6 decimal places). In simplest radical form it is 7√165.

Square root of 8085

Pick any whole number from 1 to 10,000.

\sqrt{8085} = 7\sqrt{165} \approx 89.916628

How to work it out

1
The square root of 8085 is the number that multiplied by itself gives 8085.
2
8085 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: 8085 = 49 × 165, so
$\sqrt{8085} = \sqrt{49 \times 165} = 7\sqrt{165}$
4
A calculator, or long division of digits, gives
$\sqrt{8085} \approx 89.916628$

LaTeX source of the formulas on this page

\[ \sqrt{8085} = 7\sqrt{165} \approx 89.916628 \]
\[ \sqrt{8085} = \sqrt{49 \times 165} = 7\sqrt{165} \]
\[ \sqrt{8085} \approx 89.916628 \]

What is the square root of 8085?

The square root of 8085 is 89.916628 (rounded to 6 decimal places). In simplest radical form it is 7√165.

Is 8085 a perfect square?

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

What is 8085 squared?

8085 × 8085 = 65367225.

What is the square root of 8085 rounded to 2 decimals?

89.92.