Question

if √5+√3÷√5-√3=a+√15b find √5-√3​

Answer 1

Answer:

To find   a √5 - b √3  =    4 √5 - √3.

Step-by-step explanation:

We use the rationalization method for the left hand side of the given equation.

given (√5 + √3) / (√5 - √3) = a + b √5

LHS =(√5 + √3) / (√5 - √3)

= [ (√5 + √3) *(√5 + √3) ] / [(√5 - √3) (√5 + √3)  ]

 = [ 5+ 3 + 2 √15 ] / (5 - 3) = 4 + √15

So a = 4 .   b = 1

To find   a √5 - b √3  =    4 √5 - √3.