Question

solve this question in the pic​

Answer 1

hlww... :)

$\frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} - \sqrt{5} } + \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ \\ = \frac{( { \sqrt{7} + \sqrt{5}) }^{2} + ( \sqrt{7} - { \sqrt{5} }^{2} }{( \sqrt{7} - \sqrt{5} ( \sqrt{7} + \sqrt{5} } \\ \\ = \frac{(7 + 5 + 2 \sqrt{7 } \times \sqrt{5} ) + (7 + 5 - 2 \sqrt{7} \times \sqrt{5}) }{ ({ \sqrt{7}) }^{2} - ( { \sqrt{5}) }^{2} } \\ \\ = \frac{(7 + 5) + (7 + 5)}{2} = \frac{24}{2} = 12$

Answer 2

ANSWER

12.

Step By Step Explaination

plz refer to the attachment first detailed answer here.

Remember

The algebraic expressions =>

1) $(a + b)^2 = a^2 + b^2 + 2ab$

2)$a^2 - b^2$ = (a+b)(a-b)

3)Also sometimes while doing these types of maths we need to do Componendo and Dividendo to rationalise the denominator for getting answer.