yottakilo21 yottakilo21
  • 02-06-2019
  • Mathematics
contestada

I need the solution and the work for it... for each of the multiple choices.

I need the solution and the work for it for each of the multiple choices class=

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carlosego
carlosego carlosego
  • 02-06-2019

For this case we have the following equation:

[tex]x ^ 3 = 375[/tex]

We must find the value of "x":

We apply cube root on both sides of the equation to eliminate the exponent:

[tex]x = \sqrt [3] {375}[/tex]

We can write 375 as [tex]5 ^ 3 * 3[/tex]

So:

[tex]x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}[/tex]

Then, the correct options are:

[tex]x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}[/tex]

Answer:

Option A and B

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