Question

if x = (√7 +√6)/(√7 -√6) , the find the value of (x+1/x)square



pls pls pls answer fast

its worth 15pts

Answer 1

see in the pic hope it is not wrong and helps you frnd
do the square of 26 now u get 676

Answer 2

Here's ur answer...
$x = \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} - \sqrt{6} } \\ so.. \\ x + \frac{1}{x} = \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} - \sqrt{6} } + \frac{ \sqrt{7} - \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ = \frac{( \sqrt{7} + \sqrt{6})^{2} + {( \sqrt{7} - \sqrt{6}) }^{2} }{7 - 6} \\ = 2( {( \sqrt{7}) }^{2} + { (\sqrt{6}) }^{2} ) = 2(7 + 6) \\ = 2 \times 13 = 26 \\ now... {(x + \frac{1}{x} )}^{2} = (26)^{2} = 676$
Hope this is ur required answer.
Proud to help you.