Question

if x=7+4√3 then 1/x is ​

Answer 1

$\boxed{Answer}$

x=7+4root3

=1/7+4root3

is the answer

Answer 2

Answer:

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

Step-by-step explanation:

$x = 7 + 4 \sqrt{3} \\ \\ = > \frac{1}{x} = \frac{1}{ 7 + 4 \sqrt{3}} \\ \\ = > \frac{ 1}{x} = \frac{1}{ 7 + 4 \sqrt{3}} \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ = > \frac{1}{x} = \frac{7 - 4 \sqrt{3} }{ {7}^{2} - (4 \sqrt{3}) ^{2} } \\ \\ = > \frac{1}{ x} = \frac{7 - 4 \sqrt{3} }{49 - 48} \\ \\ = > \frac{1}{x} = \frac{7 - 4 \sqrt{3} }{1} \\ \\ = > \frac{1}{x} = 7 - 4 \sqrt{3}$

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