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Question
Simplify of the following:
`root(3)4 xx root(3)16`
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Solution
We know that `root(n)a xx root(n)b = root(n)(ab)`.
We will use this property to simplify the expression `root(3)4 xx root(3)(16)`
`∴ root(3)(4) xx root(3)(16) = root(3)(64)`
`= root(3)(4^3)`
`= (4)^1`
= 4
Hence the value of the given expression is 4
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