Question

find rational numbers a and b, if a+b√3=5+√3/5-√3​

Answer 1

Answer:

a+b√3=5+√3/5-√3

a+b√3=(5+√3/5-√3)×(5+√3/5+√3)

a+b√3=(5+√3)²/5²-(√3)²

a+b√3=25+3+10√3/25-3

a+b√3=28+10√3/22

as comparison

a=28/22. b√3=10√3/22

a=14/11. b=5/11