Question

√5+√3÷√5-√3=a+b√15 find the value if a,b

Answer 1

Answer:

refer to the attachment

Answer 2

Step-by-step explanation:

$\frac{ \sqrt{5 } + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } = a + b \sqrt{ 15} \\ \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } = a + b \sqrt{15 } \\ \frac{5 + 3 + 2 \sqrt{15} }{5 - 3} = a + b \sqrt{15 } \\ \frac{8 + 2 \sqrt{15} }{2} = a + b \sqrt{15 } \\ 4 + \sqrt{15} = a + b \sqrt{15} \\ comparing \: on \: both \: sides \\ a = 4 \: \: \: \: \: \: \: b = 1 \\ hope \: it \: will \: help \: you.......$