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Question
Simplify the following:
`4sqrt(28) ÷ 3sqrt(7) ÷ root(3)(7)`
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Solution
`4sqrt(28) ÷ 3sqrt(7) ÷ root(3)(7) = (4sqrt(4 xx 7) ÷ 3sqrt(7)) ÷ root(3)(7)`
= `((8sqrt(7))/(3sqrt(7))) ÷ (7)^(1/3)` ...`[∵ root(n)(a) = a^(1/n)]`
= `8/3 ÷ 7^(1/3)`
= `8/(3root(3)(7)`
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