Question

if a=(3√5-7√3),b=(5√3+7√5). find a+b,a-b​

Answer 1

Answer:

$1).(3 \sqrt{5} - 7 \sqrt{3} ) + (5 \sqrt{3} + 7 \sqrt{5} ) \\ = 3 \sqrt{5} - 7 \sqrt{3} + 5 \sqrt{3} + 7 \sqrt{5} \\ = 3 \sqrt{5} + 7 \sqrt{5} - 7 \sqrt{3} + 5 \sqrt{3} \\ = 3 + 7 \sqrt{5} - 7 + 5 \sqrt{3} \\ = 10 \sqrt{5} - 2 \sqrt{3} \\ \\ 2).(3 \sqrt{5} - 7 \sqrt{3} ) - (5 \sqrt{3} + 7 \sqrt{5} ) \\ = 3 \sqrt{5} - 7 \sqrt{3} - 5 \sqrt{3} - 7 \sqrt{5} \\ = 3 \sqrt{5} - 7 \sqrt{5} - 7 \sqrt{3} - 5 \sqrt{3} \\ = 3 - 7 \sqrt{5} - 7 - 5 \sqrt{3} \\ = - 4 \sqrt{5} - 12 \sqrt{3} \\ \\ \\ \\ this \: is \: the \: correct \: answer............$