Square root of 760

The square root of 760 is 27.568098 (rounded to 6 decimal places). In simplest radical form it is 2√190.

Square root of 760

Pick any whole number from 1 to 10,000.

\sqrt{760} = 2\sqrt{190} \approx 27.568098

How to work it out

1
The square root of 760 is the number that multiplied by itself gives 760.
2
760 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: 760 = 4 × 190, so
$\sqrt{760} = \sqrt{4 \times 190} = 2\sqrt{190}$
4
A calculator, or long division of digits, gives
$\sqrt{760} \approx 27.568098$

LaTeX source of the formulas on this page

\[ \sqrt{760} = 2\sqrt{190} \approx 27.568098 \]
\[ \sqrt{760} = \sqrt{4 \times 190} = 2\sqrt{190} \]
\[ \sqrt{760} \approx 27.568098 \]

What is the square root of 760?

The square root of 760 is 27.568098 (rounded to 6 decimal places). In simplest radical form it is 2√190.

Is 760 a perfect square?

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

What is 760 squared?

760 × 760 = 577600.

What is the square root of 760 rounded to 2 decimals?

27.57.