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Question
Simplify of the following:
`root(4)1250/root(4)2`
Solution
We know that `(root(n)a)/(root(n)b) = root(n)(a/b)`We will use this property to simplify the expression `root(4)(1250)/root(4)2`
`:. root(4)1250/root(4)(2) = root(4)625`
`= root(4)(5^4)`
`=(5)^1`
= 5
Hence the value of the given expression is 5
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