If a and b are rational numbers find the value of a and b ?3+?2 = a+b?6 ?3-?2

Answers (1)

Solution: we have,

\ ( sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6

Rationalisation factor of the denominator \ (sqrt3+sqrt2)^2=3+2+2sqrt6=5+2sqrt6=a+bsqrt6

\ Rightarrow a=5 ,b=2

 

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