Question

Which expression is equivalent to ^3 square root 54x + 3^3 square root 2x if x does not equal 0?

Answer 1

You have the following expression:

³√54x + 3(³√2x), x ≠ 0

In order to simplify the previous expression, write 54x as 27(2x). Moreover, take into account that 27 = 3³ and ³√27(2x) = ³√(3³(2x)) = 3(³√2x). Then, you have:

³√54x + 3(³√2x)

= 3(³√2x) + 3(³√2x)

= 6(³√2x)

Hence, the equivalent expression is

A. 6(³√2x)