radical expressions

Hello, sherryv!

need help solving index is 3 sqrt96a4b2/12a2b please show process

I assume you mean: .\(\displaystyle \text{Simplify }\:\sqrt[3]{\dfrac {96a^4b^2}{12a^2b}} \)

First, reduce the fraction: .\(\displaystyle \sqrt[3]{8a^2b}\)

Then simplify: .\(\displaystyle \sqrt[3]{8}\cdot\sqrt[3]{a^2b} \;=\;2\sqrt[3]{a^2b}\)
 
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