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Question
Find the product.
`(7sqrt(3) - 4)(5sqrt(3) + 1)`
Sum
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Solution
To find the product:
`(7sqrt(3) - 4)(5sqrt(3) + 1)`
Use distributive property (FOIL method):
`7sqrt(3) xx 5sqrt(3) + 7sqrt(3) xx 1 - 4 xx 5sqrt(3) - 4 xx 1`
Now compute each term:
`7sqrt(3) xx 5sqrt(3) = 35 xx 3 = 105`
`7sqrt(3) xx 1 = 7sqrt(3)`
`-4 xx 5sqrt(3) = -20sqrt(3)`
–4 × 1 = –4
Now combine:
`105 + 7sqrt(3) - 20sqrt(3) - 4`
= `(105 - 4) + (-13sqrt(3))`
= `101 - 13sqrt(3)`
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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]
