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Question
Expand:
`(sqrt(3) - sqrt(2))^2`
Sum
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Solution
Let’s expand:
`(sqrt(3) - sqrt(2))^2`
Using the identity:
(a – b)2 = a2 – 2ab + b2
Let:
- `a = sqrt(3)`
- `b = sqrt(2)`
Then:
= `(sqrt(3))^2 - 2(sqrt(3))(sqrt(2)) + (sqrt(2))^2`
= `3 - 2sqrt(6) + 2`
= `5 - 2sqrt(6)`
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Chapter 1: Rational and Irrational Numbers - MISCELLANEOUS EXERCISE [Page 17]
