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

Question

Simplify each radical. Assume all variables represent positive real numbers. ∜(x⁴ + y⁴)

Accepted Answer

Hey everyone here we are asked to simplify the following expression where we have the seventh root of the quantity of C. To the seventh power plus D. To the seventh power. So the first thing we need to notice here in order to simplify is that we cannot simply just take the seventh root of each individual term and add them together. So we know we cannot simplify in this manner. And we also know that looking at the expression underneath the root which again is C. To the seventh power plus D. To the seventh power. Well, we see that there aren't any terms of which we can factor out from this expression because we know that we cannot simply take the quantity of C plus D and raise it to the seventh power because just like we cannot distribute a roux to the individual terms of a sum. We cannot just distribute a power to individual terms of a sum and therefore we can see that there just aren't any simplifications that we can make to our original expression. So our answer here is just answer choice D. Where the expression just cannot be simplified. Further, Thanks for watching, I hope you found this video helpful and I'll see you again next time

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Simplify each radical. Assume all variables represent positive real numbers. ∜(x⁴ + y⁴)

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