Question

if a+b are a rational no. and √5+√3/√5-√3 = a+b√15 then a+b = ?​

Answer 1

Answer:

5

Step-by-step explanation:

$\frac{ \sqrt{5 } + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5 } + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \: \: (multiplying \: both \: sides \: by \: \frac{ \sqrt{5 } + \sqrt{3} }{ \sqrt{5} + \sqrt{3} })$

$\frac{5 + 3 + 2 \sqrt{15} }{5 - 3} \\ = 4 + \sqrt{15}$

$therefore \\ a + b = 4 + 1 = 5$