Radical Operations Algebra

solve for x:

Three students, Jack, Mark, and Sue each make a claim about the sum of $$\sqrt{3}\ +\ \sqrt{9}$$ Each student's claim and their work to support their claim is shown below. Determine whether each student has provided correct reasoning to support their claim. Indicate whether each student's claim is Correct or Incorrect by selecting the hotspot in the respective box.

Enter the correct steps to solve: -katex latex="-7\sqrt[4]{m+1}=14" 1) Divide both sides by ​ (a)   2) Raise both sides to the ​ (b)   power 3) Subtract ​ (c)   from both sides. 4) m = ​ (d)   CHECK: After m is plugged back in we find that there is ​ (e)   . ​

What would be the root index if the following expression were written in radical form?

12x^2/3

Enter the correct steps to solve: -katex latex="-7\sqrt[4]{m+1}=14" 1) Divide both sides by ​ (a)   2) Raise both sides to the ​ (b)   power 3) Subtract ​ (c)   from both sides. 4) m = ​ (d)   CHECK: After m is plugged back in we find that there is ​ (e)   . ​

Label the radical expression