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Express with rational denominator(3sqrt(-2)+2(-5))/(3sqrt(-2)-2sqrt(-2))

Answer»

Solution :`(3sqrt(-2)+2(-5))/(3sqrt(-2)-2sqrt(-2))=(3sqrt(2I)-10)/(3sqrt(2i)-2sqrt(2i))=(3sqrt(2i)-10)/SQRT(2i)`
((3sqrt(2i)-10)sqrt(2i))/((sqrt(2i))(sqrt(2i)))=(6i^2-10sqrt(2i))/(2i^2)
`=(-6-i10sqrt2)/(-2)=(6+i10sqrt2)/2=3+i5sqrt2`


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