3−√32+√3=a+b√3
Rationalize
= 3−√32+√3×2−√32−√3
= (3−√3)(2+√3)(2−√3)(2−√3)
= 6−3√3−2√3+(√3)24−2√3+2√3−(√3)2
= 6−5√3+34−3
= 9−5√31=9−5√3
= 9 + (-5) √3
∴a=9,b=−5