Question

write step by step explanation try to write on a paper it will be convenient for both of us​

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{7} - 1}{ \sqrt{7} + 1} - \frac{ \sqrt{7} + 1 }{ \sqrt{7} - 1} = a + b \sqrt{7}$

$\frac{ { (\sqrt{7} - 1)}^{2} - { (\sqrt{7} + 1)}^{2} }{( \sqrt{7} + 1)( \sqrt{7} - 1)} = a + b \sqrt{7}$

$\frac{(7 + 1 - 2 \sqrt{7}) - (7 + 1 + 2 \sqrt{7} ) }{ \sqrt{7}( \sqrt{7} - 1) + 1( \sqrt{7} - 1) } = a + b \sqrt{7}$

$\frac{7 + 1 - 2 \sqrt{7 } - 7 - 1 - 2 \sqrt{7} }{7 - \sqrt{7} + \sqrt{7} - 1 } = a + b \sqrt{7}$

$\frac{7 - 7 + 1 - 1 - 2 \sqrt{7} - 2 \sqrt{7} }{7 - 1 - \sqrt{7} + \sqrt{7} } =a + b\sqrt{7}$

$\frac{( - 4 \sqrt{7}) }{6} = a + b \sqrt{7}$