Square root of 2196

The square root of 2196 is 46.861498 (rounded to 6 decimal places). In simplest radical form it is 6√61.

Square root of 2196

Pick any whole number from 1 to 10,000.

\sqrt{2196} = 6\sqrt{61} \approx 46.861498

How to work it out

1
The square root of 2196 is the number that multiplied by itself gives 2196.
2
2196 is between the perfect squares 46² = 2116 and 47² = 2209, so its square root is between 46 and 47.
3
Pull out the biggest square factor: 2196 = 36 × 61, so
$\sqrt{2196} = \sqrt{36 \times 61} = 6\sqrt{61}$
4
A calculator, or long division of digits, gives
$\sqrt{2196} \approx 46.861498$

LaTeX source of the formulas on this page

\[ \sqrt{2196} = 6\sqrt{61} \approx 46.861498 \]
\[ \sqrt{2196} = \sqrt{36 \times 61} = 6\sqrt{61} \]
\[ \sqrt{2196} \approx 46.861498 \]

What is the square root of 2196?

The square root of 2196 is 46.861498 (rounded to 6 decimal places). In simplest radical form it is 6√61.

Is 2196 a perfect square?

No. It lies between 46² = 2116 and 47² = 2209.

What is 2196 squared?

2196 × 2196 = 4822416.

What is the square root of 2196 rounded to 2 decimals?

46.86.