Convert decimal to fraction

To simplify, rewrite 1.0816 as a fraction: $1.0816 = \frac{10816}{10000}$.

$1.0816 = \frac{10816}{10000}$

Find the square root of numerator and denominator

We need to calculate $\sqrt{\frac{10816}{10000}} = \frac{\sqrt{10816}}{\sqrt{10000}}$. The denominator is straightforward: $\sqrt{10000} = 100$.

$\sqrt{10000} = 100$

Calculate square root of numerator

For $\sqrt{10816}$, since $100^2 = 10000$ and $110^2 = 12100$, the number is close to 100. Testing $104^2 = (100+4)^2 = 10000 + 800 + 16 = 10816$.

$104^2 = 10816$

Final division

Combining the results, we get $\frac{104}{100} = 1.04$.

$\frac{104}{100} = 1.04$