Question

find the square root of x² by y² +2+y²by x2​

Answer 1

Answer:

$( \frac{x}{y} + \frac{y}{x} )$

Step-by-step explanation:

$\:\:\:\:\: \sqrt{ \frac{ {x}^{2} }{ {y}^{2} } + 2 + \frac{ {y}^{2} }{ {x}^{2} } }$

$= \sqrt{ { (\frac{x}{y}) }^{2} + 2( \frac{x}{y} )( \frac{y}{x} ) + { (\frac{y}{x} )}^{2} }$

$= \sqrt{ {( \frac{x}{y} + \frac{y}{x} )}^{2} }$

$= ( \frac{x}{y} + \frac{y}{x} )$