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Question
Simplify the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
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Solution
`root(3)(27) xx root(3)(8) xx root(3)(125) = root(3)(27 xx 8 xx 125)`
= `root(3)(3^3 xx 2^3 xx 5^3)`
= 3 × 2 × 5
= 30
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