Square root of 765

The square root of 765 is 27.658633 (rounded to 6 decimal places). In simplest radical form it is 3√85.

Square root of 765

Pick any whole number from 1 to 10,000.

\sqrt{765} = 3\sqrt{85} \approx 27.658633

How to work it out

1
The square root of 765 is the number that multiplied by itself gives 765.
2
765 is between the perfect squares 27² = 729 and 28² = 784, so its square root is between 27 and 28.
3
Pull out the biggest square factor: 765 = 9 × 85, so
$\sqrt{765} = \sqrt{9 \times 85} = 3\sqrt{85}$
4
A calculator, or long division of digits, gives
$\sqrt{765} \approx 27.658633$

LaTeX source of the formulas on this page

\[ \sqrt{765} = 3\sqrt{85} \approx 27.658633 \]
\[ \sqrt{765} = \sqrt{9 \times 85} = 3\sqrt{85} \]
\[ \sqrt{765} \approx 27.658633 \]

What is the square root of 765?

The square root of 765 is 27.658633 (rounded to 6 decimal places). In simplest radical form it is 3√85.

Is 765 a perfect square?

No. It lies between 27² = 729 and 28² = 784.

What is 765 squared?

765 × 765 = 585225.

What is the square root of 765 rounded to 2 decimals?

27.66.