Simplify each radical. Assume all variables represent positive re...

Question

Simplify each radical. Assume all variables represent positive real numbers. ∛(27 + a³)

Accepted Answer

Hello today we're going to be simplifying the given expression. So what we are given is the fourth root of B raised to the power of 4-plus 81. Now there's a couple issues with the current expression. If we were to rewrite the current expression into exponential form, we can rewrite it as B to the fourth plus 81. Race to the power of 1/4, but we cannot do exponential distribution here because we have a sum of terms and not a product of terms. So this approach to a simplification is not going to work. And furthermore. The innermost argument, which is B to the fourth plus 81 is not a fact herbal quantity. So we can't factor the innermost argument and rewriting this expression into exponential form is not going to help us simplify this. So since both of those approaches are not going to work, we can go ahead and assume that the expression cannot be simplified any further. And with that being said, the answer to this problem is going to be D. So I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video

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Simplify each radical. Assume all variables represent positive real numbers. ∛(27 + a³)

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