Put the steps in order used to simplify the following.
3√12 + 5√3 - 3^√24
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Answer choices
1. 3√2 • 2 • 3 + 5√3 - 3√2 • 2 • 2 • 3
2. 9√3
3. 6√3 + 5√3 - 2 3√3
4. 2 • 3√3 + 5√3 - 2 3√3
5. 9 3√3
6. 2 • 3√3 + 5√3 - 2 3√2 • 3
7. 3√2 • 6 + 5√3 - 3√4 • 6
8. 11√3 - 2 3√6
9. 11√3 - 2 3√3
Step 1: Simplify each cube root term separately:
3√12 = 3√(2 • 2 • 3) = 2 • 3√2
5√3 remains the same
3^√24 = 3√(2 • 2 • 2 • 3) = 2 • 3√2
Step 2: Combine like terms:
2 • 3√2 + 5√3 - 2 • 3√2
Step 3: Cancel out like terms:
2 • 3√2 - 2 • 3√2
Step 4: Simplify the remaining terms:
There are no remaining terms.
Step 5: The simplified form is:
2 • 3√2 + 5√3 - 2 • 3√2