Square root of 774

The square root of 774 is 27.820855 (rounded to 6 decimal places). In simplest radical form it is 3√86.

Square root of 774

Pick any whole number from 1 to 10,000.

\sqrt{774} = 3\sqrt{86} \approx 27.820855

How to work it out

1
The square root of 774 is the number that multiplied by itself gives 774.
2
774 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: 774 = 9 × 86, so
$\sqrt{774} = \sqrt{9 \times 86} = 3\sqrt{86}$
4
A calculator, or long division of digits, gives
$\sqrt{774} \approx 27.820855$

LaTeX source of the formulas on this page

\[ \sqrt{774} = 3\sqrt{86} \approx 27.820855 \]
\[ \sqrt{774} = \sqrt{9 \times 86} = 3\sqrt{86} \]
\[ \sqrt{774} \approx 27.820855 \]

What is the square root of 774?

The square root of 774 is 27.820855 (rounded to 6 decimal places). In simplest radical form it is 3√86.

Is 774 a perfect square?

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

What is 774 squared?

774 × 774 = 599076.

What is the square root of 774 rounded to 2 decimals?

27.82.