√24 + 2√27
Put the steps in order that are used to simplify the problem.
1.
2.
3.
a. 2√6 + 2 * 3√3
b. √2*2*2*3 + 2√3*3*3
c. 2√6 + 6√3
1. √24 can be simplified to 2√6 by breaking down 24 into its prime factors (2*2*2*3).
2. √27 can be simplified to 3√3 by breaking down 27 into its prime factors (3*3*3).
3. Adding the simplified terms together gives the final answer of 2√6 + 3√3 as the most simplified form.
So, the correct order of steps is:
b. √2*2*2*3 + 2√3*3*3
a. 2√6 + 6√3
c. 2√6 + 3√3