Question

What is the following sum 3b^2

Answer 1

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