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Question
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Solution
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
`=4/7 sqrt (49 xx 3) + 3/8 sqrt (64 xx 3) - 1/5 sqrt (25 xx 3)`
`= 4/7 xx 7sqrt 3 + 3/8 xx 8 sqrt 3 - 1/5 xx 5 sqrt 3`
`=4sqrt 3 + 3sqrt3 - sqrt 3`
`=(4+3-1)sqrt3`
`= 6sqrt 3`
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