Question

Simplify of the following:

`root(4)1250/root(4)2`

Answer 1

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