Simplify the radical. Assume that all variables represent positive real numbers.54z153z4−−−−√54𝑧153𝑧4Select one:a. 9z52z−−√9𝑧52𝑧b. 3z2z9−−−√3𝑧2𝑧9c. 32z11−−−−√32𝑧11d. 3z52z−−√
Question
Simplify the radical. Assume that all variables represent positive real numbers.54z153z4−−−−√54𝑧153𝑧4Select one:a. 9z52z−−√9𝑧52𝑧b. 3z2z9−−−√3𝑧2𝑧9c. 32z11−−−−√32𝑧11d. 3z52z−−√
Solution
It seems like there's a formatting issue with your question. However, I'll try to provide a general approach to simplifying radicals.
- Break down the number under the radical into its prime factors.
- For every pair of identical factors, one can be taken out of the radical.
- If the exponent of the variable under the radical is even, it can be taken out of the radical with half the original exponent.
- If the exponent of the variable under the radical is odd, subtract one from the exponent, divide by two, and that's the exponent of the variable outside the radical. The variable with an exponent of one remains under the radical.
Please provide the correct format of the question so I can give a more accurate answer.
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