Question

What is the following sum 3b^2

Answer 1

The answer choice is B!

Answer 2

The given expression is $3b^2*(\sqrt[3]{54a}) + 3*(\sqrt[3]{2ab^6})$

This can be simplified as :

= $3*b^2*(\sqrt[3]{27 *2*a}) + 3*(\sqrt[3]{2*a*b^6})$

We know that: $\sqrt[3]{27} = 3$

Similarly we also can simplify: $\sqrt[3]{b^6} = b^2$

So our expression will look like this:

= $3*3*b^2*(\sqrt[3]{2a}) + 3*b^2*(\sqrt[3]{2a})$

= $9b^2*(\sqrt[3]{2a}) + 3b^2*(\sqrt[3]{2a})$

=$\sqrt[3]{2a}*(9b^2 + 3b^2)$

=$\sqrt[3]{2a}*(12b^2)$

This can also be written as:

$12b^2(\sqrt[3]{2a})$

So the Answer is Option B