Question

Find a and b if


`√(5) + √(3) / √(5 ) - √(3)`
if a-b√15 ​

Answer 1

a=-19/7, b=5/7

Explanation:

Answer 2

a = 4 b = -1

Explanation:

I think you meant
`(\sqrt5+\sqrt3)/(\sqrt5-\sqrt3)`

Then:

`(\sqrt5+\sqrt3)/(\sqrt5-\sqrt3)=(\sqrt5+\sqrt3)/(\sqrt5-\sqrt3)\cdot(\sqrt5+\sqrt3)/(\sqrt5+\sqrt3)=\\\\\\=((\sqrt5)^2+2\cdot\sqrt5\cdot\sqrt3+(\sqrt3)^2)/((\sqrt5)^2-(\sqrt3)^2)=(5+2√(15)+3)/(5-3)=(8+2√(15))/(2)=\\\\\\=(2(4+√(15)))/(2)=4+√(15)\\\\\\a=4\,,\qquad b=-1`