which of the following occurs within the solutions process for 3sqrt(5x-2)-3sqrt(4x)=0

Squaring both sides once

Squaring both sides twice

Cubing both sides once








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Cubing both sides once 100%

Answer:

C on Edge2020: Cubing both sides once.

Step-by-step explanation:

In order to get rid of the radicals in the equation, we must cube both sides.

[tex]\sqrt[3]{5x-2} -\sqrt[3]{4x} =0[/tex] is the original equation. Cube both sides:

[tex]5x-2-4x=0[/tex] is what we have now that we have gotten rid of radicals.

Simplify by combining like terms and solve for [tex]x[/tex].

[tex]x-2=0[/tex]

[tex]x=2[/tex]

Note that we have cubed both sides only once. Therefore, C is the solution.