Question

$\sqrt{\frac{36}{16 + 9} } : \sqrt{\frac{64 * 50 * 2}{64 / 4 * 9} }$

Answer 1

[tex] \sqrt{ \frac{36}{16+9} }= \sqrt{ \frac{36}{25} }= \frac{6}{5} [/tex]

$\sqrt{ \frac{64*50*2}{64/4*9} }= \sqrt{ \frac{64*100}{64/36} }= \frac{8*10}{8/6}$

$\frac{8*10}{8/6}=80: \frac{8}{6}=80* \frac{6}{8}=10* \frac{6}{1}= \frac{60}{1}$

$\frac{6}{5}: \frac{60}{1}= \frac{6}{5}* \frac{1}{60}= \frac{1}{5}* \frac{1}{10}= \frac{1}{50}$