Factor $162=9^{2}\times 2$. Rewrite the square root of the product $\sqrt{9^{2}\times 2}$ as the product of square roots $\sqrt{9^{2}}\sqrt{2}$. Take the square root of $9^{2}$.
$$9\sqrt{2}-\sqrt{98}-\sqrt{8}+50$$
Factor $98=7^{2}\times 2$. Rewrite the square root of the product $\sqrt{7^{2}\times 2}$ as the product of square roots $\sqrt{7^{2}}\sqrt{2}$. Take the square root of $7^{2}$.
$$9\sqrt{2}-7\sqrt{2}-\sqrt{8}+50$$
Combine $9\sqrt{2}$ and $-7\sqrt{2}$ to get $2\sqrt{2}$.
$$2\sqrt{2}-\sqrt{8}+50$$
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 $2^{2}$.
