Square root of 740

The square root of 740 is 27.202941 (rounded to 6 decimal places). In simplest radical form it is 2√185.

Square root of 740

Pick any whole number from 1 to 10,000.

\sqrt{740} = 2\sqrt{185} \approx 27.202941

How to work it out

1
The square root of 740 is the number that multiplied by itself gives 740.
2
740 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: 740 = 4 × 185, so
$\sqrt{740} = \sqrt{4 \times 185} = 2\sqrt{185}$
4
A calculator, or long division of digits, gives
$\sqrt{740} \approx 27.202941$

LaTeX source of the formulas on this page

\[ \sqrt{740} = 2\sqrt{185} \approx 27.202941 \]
\[ \sqrt{740} = \sqrt{4 \times 185} = 2\sqrt{185} \]
\[ \sqrt{740} \approx 27.202941 \]

What is the square root of 740?

The square root of 740 is 27.202941 (rounded to 6 decimal places). In simplest radical form it is 2√185.

Is 740 a perfect square?

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

What is 740 squared?

740 × 740 = 547600.

What is the square root of 740 rounded to 2 decimals?

27.20.