Question

if 5+√3/5-√3=p+q√3, find p and q where p and q are rational numbers

Answer 1

Answer:

5+√3/5-√3=p+q√3

Rationalising the denominator

5+√3/5-√3×5+√3/5+√3

(5+√3)^2/(5)^2-(√3)^2

25+3+10√3/5-3

28+10√3/2

14+5√3

p+q√3

p=14

q=5