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Question
Simplify: `(2sqrt(27) + 3sqrt(12))/(4sqrt(3))`.
Simplify
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Solution
Given: `(2sqrt(27) + 3sqrt(12))/(4sqrt(3))`
Step-wise calculation:
1. `sqrt(27) = sqrt(9 xx 3)`
= `3sqrt(3)`
`sqrt(12) = sqrt(4 xx 3)`
= `2sqrt(3)`
2. Numerator = `2 xx (3sqrt(3)) + 3 xx (2sqrt(3))`
= `6sqrt(3) + 6sqrt(3)`
= `12sqrt(3)`
3. Expression = `(12sqrt(3))/(4sqrt(3))`
= `12/4`
= 3
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