Square root of 747

The square root of 747 is 27.331301 (rounded to 6 decimal places). In simplest radical form it is 3√83.

Square root of 747

Pick any whole number from 1 to 10,000.

\sqrt{747} = 3\sqrt{83} \approx 27.331301

How to work it out

1
The square root of 747 is the number that multiplied by itself gives 747.
2
747 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: 747 = 9 × 83, so
$\sqrt{747} = \sqrt{9 \times 83} = 3\sqrt{83}$
4
A calculator, or long division of digits, gives
$\sqrt{747} \approx 27.331301$

LaTeX source of the formulas on this page

\[ \sqrt{747} = 3\sqrt{83} \approx 27.331301 \]
\[ \sqrt{747} = \sqrt{9 \times 83} = 3\sqrt{83} \]
\[ \sqrt{747} \approx 27.331301 \]

What is the square root of 747?

The square root of 747 is 27.331301 (rounded to 6 decimal places). In simplest radical form it is 3√83.

Is 747 a perfect square?

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

What is 747 squared?

747 × 747 = 558009.

What is the square root of 747 rounded to 2 decimals?

27.33.