Question

if 5+2 root 3 divided by 7+4 root 3 =a+b root 3, Find a & b?

Answer 1

Solution is attached below in image

Answer 2

ANSWER:

5+2√3/7+4√3=a+b√3

FIRST OF ALL RATIONALISE IT

(5+2√3)*(7-4√3)/(7+4√3)*(7-4√3)

5(7-4√3)+2√3(7-4√3)/(7)²-(4√3)²

SO THEN,

35-20√3+14√3-24/49-48

11-6√3/1=11-6√3

AS PER THE QUESTION a+b√6

SOa=11 and b=-6

if the the sigh is opposite which means a-b√3

then also a= 11 but b = 6

HOPE YOU UNDERSTANS