Question

$\sqrt{ \frac{ 2^{13}+2^{16} }{2^{15} } =$

Answer 1

$\sqrt{ \frac{ 2^{13}+ 2^{16} }{ 2^{15} } }= \sqrt{ \frac{ 2^{13}.(1+2^3) }{2^{15} }$ $= \sqrt{2^{-2}.(1+2^3)}= \sqrt{\frac{1}{4}.(1+8)}= \sqrt{ \frac{9}{4}}= \frac{3}{2}$