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Question
Multiply.
`(3sqrt2 - sqrt 3) (4sqrt3 - sqrt 2)`
Sum
Solution
`(3sqrt2 - sqrt 3) (4sqrt3 - sqrt 2)`
`= 3 sqrt 2 xx 4 sqrt3 - 3 sqrt 2 xx sqrt 2 - sqrt 3 xx 4 sqrt3 + sqrt 3 xx sqrt 2`
`= 12 sqrt6 - 3 xx 2 - 4 xx3 + sqrt 6`
`= 13 sqrt 6 - 6 - 12`
`= 13 sqrt 6 - 18`
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Binomial Quadratic Surd
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Chapter 2: Real Numbers - Practice Set 2.4 [Page 32]