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Question
Expand:
`(3 - sqrt(8))^2`
Sum
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Solution
Let’s expand:
`(3 - sqrt(8))^2`
Use the identity:
(a – b)2 = a2 – 2ab + b2
Let:
- a = 3
- `b = sqrt(8) = 2sqrt(2)`
Now expand:
= `3^2 - 2(3)(2sqrt(2)) + (2sqrt(2))^2`
= `9 - 12sqrt(2) + 4 xx 2`
= `9 - 12sqrt(2) + 8`
= `17 - 12sqrt(2)`
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Chapter 1: Rational and Irrational Numbers - MISCELLANEOUS EXERCISE [Page 17]
