please solve this 19th question and get like follow and 5 plus rate
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Step-by-step explanation:
2−3
Step-by-step explanation:
QUESTION: if x=2+ root 3 then (1/x) is equal to
SOLUTION:
\begin{gathered}x = 2 + \sqrt{3} \: \: \: \: \: then \: \: \: \: \frac{1}{x} \\ \frac{1}{x} = \frac{1}{2 + \sqrt{3} } \\ by \: rationalisation \\ \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } = \frac{2 - \sqrt{3} }{4 - 3} \\ = 2 - \sqrt{3} \end{gathered}x=2+3thenx1x1=2+31byrationalisation2+31×2−32−3=4−32−3=2−3
so 1/x=
2 - \sqrt{3}2−3
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