Answer:
There are two pairs of like terms. A and D, and C and E.
Step-by-step explanation:
Because A and D both include a cube root of 2x, they are like terms.
Because C and E both include a square root of 2x, they are like terms
A. and D. i.e.,[tex]5\sqrt[3]{2x}\ and\ -3\sqrt[3]{2x}[/tex], C. and E. [tex]5\sqrt{2x}\ and\ 5x\sqrt{2x}[/tex] are like radicals respectively.
Like radicals are radicals that have the same root number AND radicand (expression under the root).
[tex]5\sqrt[3]{2x}\ and\ -3\sqrt[3]{2x}[/tex] are like radicals with root number 3 for both and radicand as 2x.
[tex]5\sqrt{2x}\ and\ 5x\sqrt{2x}[/tex] are like radicals with root number 2 for both and radicand as 2x.
Learn more about like radicals here
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