Question

x = √2 + 1/√2
y = √2
x/y =?

Answer 1

$x = \sqrt{2} + \frac{1}{ \sqrt{2} } = \frac{ \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } + \frac{1}{ \sqrt{2} } = \frac{2}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } = \frac{3}{ \sqrt{2} }$

$\frac{x}{y} = \frac{ \frac{3}{ \sqrt{2} } }{ \sqrt{2} } = \frac{3}{ \sqrt{2} } \div \sqrt{2} = \frac{3}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } = \frac{3}{ \sqrt{4} } = \frac{3}{2}$