Square root of 780

The square root of 780 is 27.92848 (rounded to 6 decimal places). In simplest radical form it is 2√195.

Square root of 780

Pick any whole number from 1 to 10,000.

\sqrt{780} = 2\sqrt{195} \approx 27.92848

How to work it out

1
The square root of 780 is the number that multiplied by itself gives 780.
2
780 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: 780 = 4 × 195, so
$\sqrt{780} = \sqrt{4 \times 195} = 2\sqrt{195}$
4
A calculator, or long division of digits, gives
$\sqrt{780} \approx 27.92848$

LaTeX source of the formulas on this page

\[ \sqrt{780} = 2\sqrt{195} \approx 27.92848 \]
\[ \sqrt{780} = \sqrt{4 \times 195} = 2\sqrt{195} \]
\[ \sqrt{780} \approx 27.92848 \]

What is the square root of 780?

The square root of 780 is 27.92848 (rounded to 6 decimal places). In simplest radical form it is 2√195.

Is 780 a perfect square?

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

What is 780 squared?

780 × 780 = 608400.

What is the square root of 780 rounded to 2 decimals?

27.93.