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Question
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Solution
`sqrt(45) - 3sqrt20 + 4sqrt(5) = sqrt(3 xx 3 xx 5) - 3sqrt(2 xx 2 xx 2) + 4sqrt(5)`
= `3sqrt(5) - 3 xx 2sqrt(5) + 4sqrt(5)`
= `3sqrt(5) - 6sqrt(5) + 4sqrt(5)`
= `sqrt(5)`
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