Square root of 4744

The square root of 4744 is 68.876701 (rounded to 6 decimal places). In simplest radical form it is 2√1186.

Square root of 4744

Pick any whole number from 1 to 10,000.

\sqrt{4744} = 2\sqrt{1186} \approx 68.876701

How to work it out

1
The square root of 4744 is the number that multiplied by itself gives 4744.
2
4744 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.
3
Pull out the biggest square factor: 4744 = 4 × 1186, so
$\sqrt{4744} = \sqrt{4 \times 1186} = 2\sqrt{1186}$
4
A calculator, or long division of digits, gives
$\sqrt{4744} \approx 68.876701$

LaTeX source of the formulas on this page

\[ \sqrt{4744} = 2\sqrt{1186} \approx 68.876701 \]
\[ \sqrt{4744} = \sqrt{4 \times 1186} = 2\sqrt{1186} \]
\[ \sqrt{4744} \approx 68.876701 \]

What is the square root of 4744?

The square root of 4744 is 68.876701 (rounded to 6 decimal places). In simplest radical form it is 2√1186.

Is 4744 a perfect square?

No. It lies between 68² = 4624 and 69² = 4761.

What is 4744 squared?

4744 × 4744 = 22505536.

What is the square root of 4744 rounded to 2 decimals?

68.88.