Operations of Radicals

Add:  2√3 + 3√3

Add:  √20 + √45

Subtract:  √7 - 3√7

Subtract: 2√18 - 3√8

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.

√5 × √10

Find the product: (3√6)(2√3)

In Adding o subtracting radicals, you can only add or subtract similar _______.

To add or subtract similar radicals, add or subtract only the ______ of the radical number and copy the common radicals.