Question

sir pls solve this for me

Simplify the following (7+3√5)/(3+√5) - (7-3√5)/(3-√5)





( / stands for upon)

Answer 1

Hi friend
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Your answer
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$\frac{(7 + 3 \sqrt{5} )}{(3 + \sqrt{5}) } - \frac{(7 - 3 \sqrt{5} )}{(3 - \sqrt{5}) } \\ \\ = > \frac{(7 + 3 \sqrt{5} )(3 - \sqrt{5}) - (7 - 3 \sqrt{5})(3 + \sqrt{5} ) }{(3 + \sqrt{5})(3 - \sqrt{5} )} \\ \\ = > \frac{21 - 7 \sqrt{5} + 9 \sqrt{5} - 15 - (21 + 7 \sqrt{5} - 9 \sqrt{5} - 15) }{(3) {}^{2} - ( \sqrt{5} ) {}^{2} } \\ \\ = > \frac{6 + 2 \sqrt{5} - 6 + 2 \sqrt{5} }{9 - 5} \\ \\ = > \frac{4 \sqrt{5} }{4} \\ \\ = > \sqrt{5}$
HOPE IT HELPS