CavanO339220 CavanO339220
  • 03-11-2022
  • Mathematics
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which expression is equivalent to ^3 square root 54x + 3^3 square root 2x if x does not equal 0?

which expression is equivalent to 3 square root 54x 33 square root 2x if x does not equal 0 class=

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NoellaX668019 NoellaX668019
  • 03-11-2022

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)

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