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X=3-√5 find the value of √x+ 1/√x
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X=3-√5 find the value of √x+ 1/√x

User Erc
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\bf x = 3-√(5) \\\\[-0.35em] ~\dotfill\\\\ √(x)+\cfrac{1}{√(x)}\implies (3-√(5))+\cfrac{1}{3-√(5)}\qquad \impliedby \textit{let use the LCD of }3-√(5) \\\\\\ \cfrac{(3-√(5))3-(3-√(5))√(5)+(1)1}{3-√(5)} \implies \cfrac{9-3√(5)-(3√(5)-5)+1}{3-√(5)} \\\\\\ \cfrac{9-3√(5)-3√(5)+5+1}{3-√(5)}\implies \cfrac{15-6√(5)}{3-√(5)}

User Steven Lyons
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