Properties of radicals, Mathematics

If n is positive integer greater than 1 and a & b both are positive real numbers then,

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Consider that on occasion we can let a or b to be negative and yet have these properties work. While we run across those conditions we will acknowledge them.  Though, for the remainder of this section we will suppose that a and b has to be positive.

Also note that whereas we can "break up" products & quotients under a radical we can't do the similar thing for sums or differences.  In other terms,

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