Question

If x = 7 + 4sqrt(3) then find the value of x + 1/x ? please give this solution fast
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Answer 1

Step-by-step explanation:

$x+ \frac{1}{x} = 7 + 4 \sqrt{3} + \frac{1}{7 + 4 \sqrt{3} }$

$= \frac{ (7 + 4 \sqrt{3})^{2} + 1}{7 + 4 \sqrt{3} }$

$= \frac{49 + 56 \sqrt{3} + 16 \times 3 + 1 }{7 + 4 \sqrt{3} }$

$= \frac{49 + 48 + 56 \sqrt{3} }{7 + 4 \sqrt{3} }$

$= \frac{97 + 56 \sqrt{3} }{7 + 4 \sqrt{3} }$

Answer 2

Answer:

I think I helped you.