Square root of 4716

The square root of 4716 is 68.673139 (rounded to 6 decimal places). In simplest radical form it is 6√131.

Square root of 4716

Pick any whole number from 1 to 10,000.

\sqrt{4716} = 6\sqrt{131} \approx 68.673139

How to work it out

1
The square root of 4716 is the number that multiplied by itself gives 4716.
2
4716 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: 4716 = 36 × 131, so
$\sqrt{4716} = \sqrt{36 \times 131} = 6\sqrt{131}$
4
A calculator, or long division of digits, gives
$\sqrt{4716} \approx 68.673139$

LaTeX source of the formulas on this page

\[ \sqrt{4716} = 6\sqrt{131} \approx 68.673139 \]
\[ \sqrt{4716} = \sqrt{36 \times 131} = 6\sqrt{131} \]
\[ \sqrt{4716} \approx 68.673139 \]

What is the square root of 4716?

The square root of 4716 is 68.673139 (rounded to 6 decimal places). In simplest radical form it is 6√131.

Is 4716 a perfect square?

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

What is 4716 squared?

4716 × 4716 = 22240656.

What is the square root of 4716 rounded to 2 decimals?

68.67.