Question

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

Answer 1

C on Edge2020: Cubing both sides once.

Explanation:

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

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

`5x-2-4x=0` is what we have now that we have gotten rid of radicals.

Simplify by combining like terms and solve for
`x`.

`x-2=0`

`x=2`

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

Answer 2

Cubing both sides once 100%