Operation on Radicals

√5 × √10

To add and subtract radicals, add and subtract like radicals or similar radicals.

2. Adding and subtracting radical expressions is very much similar to adding and subtracting similar terms of polynomials.

Rationalizing is necessary for the division of radicals.

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.

Solve the radical equation. Don't forget to check your answers!

(a)