Square root of 775

The square root of 775 is 27.838822 (rounded to 6 decimal places). In simplest radical form it is 5√31.

Square root of 775

Pick any whole number from 1 to 10,000.

\sqrt{775} = 5\sqrt{31} \approx 27.838822

How to work it out

1
The square root of 775 is the number that multiplied by itself gives 775.
2
775 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: 775 = 25 × 31, so
$\sqrt{775} = \sqrt{25 \times 31} = 5\sqrt{31}$
4
A calculator, or long division of digits, gives
$\sqrt{775} \approx 27.838822$

LaTeX source of the formulas on this page

\[ \sqrt{775} = 5\sqrt{31} \approx 27.838822 \]
\[ \sqrt{775} = \sqrt{25 \times 31} = 5\sqrt{31} \]
\[ \sqrt{775} \approx 27.838822 \]

What is the square root of 775?

The square root of 775 is 27.838822 (rounded to 6 decimal places). In simplest radical form it is 5√31.

Is 775 a perfect square?

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

What is 775 squared?

775 × 775 = 600625.

What is the square root of 775 rounded to 2 decimals?

27.84.