Question

solve 18 question with steps plz frnds

Answer 1

hello mate!.....


given..........

$x = \sqrt{7 + 4 \sqrt{3} } \\ \\ x + \frac{1}{x} = \sqrt{7 + 4 \sqrt{3} } + \frac{1}{ \sqrt{7 + 4 \sqrt{3} } } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{( \sqrt{7 + 4 \sqrt{3} } ) {}^{2} + 1 {} }{ (\sqrt{7 +4 \sqrt{3} }) } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7 + 4 \sqrt{3} + 1}{ \sqrt{7 + 4 \sqrt{3} } } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{8 + 4 \sqrt{3} }{ \sqrt{7 + 4 \sqrt{3} } }$


$hope \: it \: helps \: u$

Answer 2

The answer is explained in the attachment.

The answer is Option (1) - 4.

Hope it helps