Factor $8=2^{2}\times 2$. Rewrite the square root of the product $\sqrt{2^{2}\times 2}$ as the product of square roots $\sqrt{2^{2}}\sqrt{2}$. Take the square root of $2^{2}$.
$$\frac{2\sqrt{2}}{9}+7^{2}$$
Calculate $7$ to the power of $2$ and get $49$.
$$\frac{2\sqrt{2}}{9}+49$$
To add or subtract expressions, expand them to make their denominators the same. Multiply $49$ times $\frac{9}{9}$.
$$\frac{2\sqrt{2}}{9}+\frac{49\times 9}{9}$$
Since $\frac{2\sqrt{2}}{9}$ and $\frac{49\times 9}{9}$ have the same denominator, add them by adding their numerators.