Square root of 4704

The square root of 4704 is 68.585713 (rounded to 6 decimal places). In simplest radical form it is 28√6.

Square root of 4704

Pick any whole number from 1 to 10,000.

\sqrt{4704} = 28\sqrt{6} \approx 68.585713

How to work it out

1
The square root of 4704 is the number that multiplied by itself gives 4704.
2
4704 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: 4704 = 784 × 6, so
$\sqrt{4704} = \sqrt{784 \times 6} = 28\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{4704} \approx 68.585713$

LaTeX source of the formulas on this page

\[ \sqrt{4704} = 28\sqrt{6} \approx 68.585713 \]
\[ \sqrt{4704} = \sqrt{784 \times 6} = 28\sqrt{6} \]
\[ \sqrt{4704} \approx 68.585713 \]

What is the square root of 4704?

The square root of 4704 is 68.585713 (rounded to 6 decimal places). In simplest radical form it is 28√6.

Is 4704 a perfect square?

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

What is 4704 squared?

4704 × 4704 = 22127616.

What is the square root of 4704 rounded to 2 decimals?

68.59.