Question

sqrt((y ^ 3)/x) * sqrt(y/x)​

Answer 1

Answer:

$\frac{y {2} }{x}$

Step-by-step explanation:

Solution:

$= \sqrt{ \frac{y {3} }{x} } \times \sqrt{ \frac{y}{x} }</p><p>$

$= (\frac{ {y}^{3} }{x} ) ^{ \frac{1}{2} } \times ( \frac{y}{x} )^{ \frac{1}{2} }$

$= (\frac{y { \frac{3}{2} } }{x { \frac{1}{2} } } ) \times ( \frac{y { \frac{1}{2} } }{x { \frac{1}{2} } } )$

$= \frac{y { \frac{3}{2} + \frac{1}{2} } }{x { \frac{1}{2} + \frac{1}{2} } }$

$= \frac{y { \frac{4}{2} } }{x { \frac{2}{2} } }$

$= \frac{y {2} }{x}$