Question

​simplify the question.
ans __ 6 √7

Answer 1

Answer:

(3+√7)/(3-√7) - (3-√7)/(3+√7)

=> take LCM,

=> [(3+√7)(3+√7)- (3-√7)(3-√7)] /[(3-√7)(3+√7)]

=> [(3+√7)^2 - (3-√7)^2]/ [(3)^2 - (√7)^2]

=>[ (3+√7+3-√7)(3+√7-3+√7)]/ (9-7)

=> (6)(2√7)/ 2

=> 6√7.

PLS MARK IT BRAINLIEST

Answer 2

Answer:

$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } - \frac{3 - \sqrt{7} }{3 + \sqrt{7} } \\ \frac{(3 + \sqrt{7}) {}^{2} - (3 - \sqrt{7} ) {}^{2} }{(3 - \sqrt{7} )(3 + \sqrt{7} )} \\ \frac{(9 + 7 + 2 \times 3 \times \sqrt{7}) - (9 + 7 - 2 \times 3 \times \sqrt{7}) }{(3) {}^{2} - { (\sqrt{7} )}^{2} } \\ \frac{16 + 6 \sqrt{7} - 16 + 6 \sqrt{7} }{9 - 7} \\ \frac{6 \sqrt{7} + 6 \sqrt{7} }{2} \\ \frac{12 \sqrt{7} }{2} \\ 6 \sqrt{7} \: \: \: \: \: \: \: ans$