Question

The value of √(x/y)+2+(y/x)

Answer 1

Answer:

$| \sqrt{\frac{x}{y} } + \sqrt{ \frac{y}{x} } |$

Step-by-step explanation:

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

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