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Question
State, with reason, of the following is surd or not :
`root(3)(25). root(3)(40)`
Solution
`root(3)(25). root(3)(40) = root(3)(5 xx 5 xx 2 xx 2 xx 2 xx 5) = 2 xx 5 = 10`
∴ `root(3)(25). root(3)(40)` is not a surds.
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