Question

5+✓3 divided by 7+4✓3 = 47a+3✓b​

Answer 1

Answer:

Given, (5+√3)/(7-4√3)

= (5+√3)/(7-4√3)/(7+4√3)/(7+4√3)

= (5+√3)(7+4√3)/(7-4√3)^2

= 35+20√3+7√3+12/(7)²-(4√3)²

= 35+20√3+7√3+12/1

= 47+27√3/1

= 47+27√3

=47a+√3b

So, a = 1, b = 27