Square root of 4796

The square root of 4796 is 69.253159 (rounded to 6 decimal places). In simplest radical form it is 2√1199.

Square root of 4796

Pick any whole number from 1 to 10,000.

\sqrt{4796} = 2\sqrt{1199} \approx 69.253159

How to work it out

1
The square root of 4796 is the number that multiplied by itself gives 4796.
2
4796 is between the perfect squares 69² = 4761 and 70² = 4900, so its square root is between 69 and 70.
3
Pull out the biggest square factor: 4796 = 4 × 1199, so
$\sqrt{4796} = \sqrt{4 \times 1199} = 2\sqrt{1199}$
4
A calculator, or long division of digits, gives
$\sqrt{4796} \approx 69.253159$

LaTeX source of the formulas on this page

\[ \sqrt{4796} = 2\sqrt{1199} \approx 69.253159 \]
\[ \sqrt{4796} = \sqrt{4 \times 1199} = 2\sqrt{1199} \]
\[ \sqrt{4796} \approx 69.253159 \]

What is the square root of 4796?

The square root of 4796 is 69.253159 (rounded to 6 decimal places). In simplest radical form it is 2√1199.

Is 4796 a perfect square?

No. It lies between 69² = 4761 and 70² = 4900.

What is 4796 squared?

4796 × 4796 = 23001616.

What is the square root of 4796 rounded to 2 decimals?

69.25.