How do you simplify sqrt (32 a^8 b) + sqrt (50 a^16 b)?

It is $\sqrt{32 {a}^{8} b} + \sqrt{50 {a}^{16} b} = \sqrt{{2}^{5} {a}^{8} b} + \sqrt{{5}^{2} \cdot 2 \cdot {a}^{16} \cdot b} = {2}^{2} {a}^{4} \sqrt{b} + 5 {a}^{8} \sqrt{2 b} = {a}^{4} \sqrt{b} \cdot \left(4 + 5 {a}^{4} \sqrt{2}\right)$