Square root of 764

The square root of 764 is 27.64055 (rounded to 6 decimal places). In simplest radical form it is 2√191.

Square root of 764

Pick any whole number from 1 to 10,000.

\sqrt{764} = 2\sqrt{191} \approx 27.64055

How to work it out

1
The square root of 764 is the number that multiplied by itself gives 764.
2
764 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: 764 = 4 × 191, so
$\sqrt{764} = \sqrt{4 \times 191} = 2\sqrt{191}$
4
A calculator, or long division of digits, gives
$\sqrt{764} \approx 27.64055$

LaTeX source of the formulas on this page

\[ \sqrt{764} = 2\sqrt{191} \approx 27.64055 \]
\[ \sqrt{764} = \sqrt{4 \times 191} = 2\sqrt{191} \]
\[ \sqrt{764} \approx 27.64055 \]

What is the square root of 764?

The square root of 764 is 27.64055 (rounded to 6 decimal places). In simplest radical form it is 2√191.

Is 764 a perfect square?

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

What is 764 squared?

764 × 764 = 583696.

What is the square root of 764 rounded to 2 decimals?

27.64.