Square root of 2236

The square root of 2236 is 47.286362 (rounded to 6 decimal places). In simplest radical form it is 2√559.

Square root of 2236

Pick any whole number from 1 to 10,000.

\sqrt{2236} = 2\sqrt{559} \approx 47.286362

How to work it out

1
The square root of 2236 is the number that multiplied by itself gives 2236.
2
2236 is between the perfect squares 47² = 2209 and 48² = 2304, so its square root is between 47 and 48.
3
Pull out the biggest square factor: 2236 = 4 × 559, so
$\sqrt{2236} = \sqrt{4 \times 559} = 2\sqrt{559}$
4
A calculator, or long division of digits, gives
$\sqrt{2236} \approx 47.286362$

LaTeX source of the formulas on this page

\[ \sqrt{2236} = 2\sqrt{559} \approx 47.286362 \]
\[ \sqrt{2236} = \sqrt{4 \times 559} = 2\sqrt{559} \]
\[ \sqrt{2236} \approx 47.286362 \]

What is the square root of 2236?

The square root of 2236 is 47.286362 (rounded to 6 decimal places). In simplest radical form it is 2√559.

Is 2236 a perfect square?

No. It lies between 47² = 2209 and 48² = 2304.

What is 2236 squared?

2236 × 2236 = 4999696.

What is the square root of 2236 rounded to 2 decimals?

47.29.