You are asked to simply the problem below.
√24 + 2√27
Put the steps in order that are used to simplify the problem.
Step 1:
Step 2:
Step 3:
Answer choices
1. 2√6 + 6√3
2. 2√6 + 2 • 3√3
3. √2 • 2 • 2 • 3 + 2√3 • 3 • 3
Step 1:
Rewrite the square roots using the product property: √24 = √(2 • 2 • 2 • 3) = 2√6 and √27 = √(3 • 3 • 3) = 3√3
Step 2:
Distribute the coefficients: 2√6 + 2 • 3√3 = 2√6 + 6√3
Step 3:
Combine like terms: 2√6 + 6√3