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Question
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
Options
`4sqrt(5) + 2sqrt(2)`
`22 - 4sqrt(10)`
`8 - 4sqrt(10)`
`2sqrt(10) - 2`
Solution
`22 - 4sqrt(10)`
Explanation;
Hint:
`(2sqrt(5) - sqrt(2))^2 = (2sqrt(5))^2 + (sqrt(2))^2 - 2 xx 2sqrt(5) xx sqrt(2)`
= `20 - 4sqrt(10) + 2`
= `22 - 4sqrt(10)`
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