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Question
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Solution
`(3+sqrt3)(2+sqrt2)` = `3(2+sqrt2)+sqrt3(2+sqrt2)`
Left Distributive law of multiplication over addition
= `(3)(2)+3sqrt2+(sqrt3(2))+(sqrt3)(sqrt2)`
= `6+3sqrt2+2sqrt3+sqrt((3)(2))`
∴ `sqrta sqrtb`
= `sqrt(ab)`
= `6+3sqrt2+2sqrt3+sqrt6`
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