oblicz [latex] frac{ sqrt{2} }{2} - frac{2}{ sqrt{2} } = ?[/latex]

[latex] frac{ sqrt{2} }{2} - frac{2}{ sqrt{2} } =frac{ sqrt{2} }{2}- frac{2* sqrt{2} }{ sqrt{2}* sqrt{2} } =frac{ sqrt{2} }{2}- frac{2 sqrt{2} }{2} = frac{ sqrt{2} }{2} - sqrt{2} =\\= frac{ sqrt{2} }{2} - frac{ sqrt{2} }{1} = frac{ sqrt{2} }{2} - frac{2 sqrt{2} }{2*1} =frac{ sqrt{2} }{2} - frac{2 sqrt{2} }{2} = frac{ sqrt{2} -2 sqrt{2} }{2} =\\= frac{1 sqrt{2} -2 sqrt{2} }{2} = frac{(1-2)* sqrt{2} }{2} = frac{-1 sqrt{2} }{2} =- frac{sqrt{2} }{2} }[/latex]