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