root 2 + root 3 by 3 root 2 minus 2 root 3 is equal to a minus b root 6 find a and b.
solution :-
Given that (✓3+✓2)/ (✓3-✓2)=a+b✓6
⇒ (✓3+✓2)/ (✓3-✓2)=a+b✓6
⇒ (✓3+✓2)(✓3+✓2)/(✓3-✓2)(✓3+✓2)=a+b✓6
⇒(✓3+✓2)^2/(✓3)^2-(✓2)^2=a+b✓6
⇒(✓3+✓2)^2/(3-2)=a+b✓6
⇒{(✓3)^2+2.✓3.✓2+(✓2)^2)}/1=a+b✓6
⇒3+2.✓3.✓2+2=a+b✓6
⇒5+2✓6=a+b✓6
comparing both sides of each term
a=5 b=2 ans
see video
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