Put the steps in the CORRECT order used to simplify the following. Not all options will be used.
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: 3√12 (rewrite the square root of 12 as the product of its prime factors)
Step 2: 3√2 • 2 • 3 (simplify the square root of 12)
Step 3: 5√3 (this term stays the same)
Step 4: √24 (rewrite the square root of 24 as the product of its prime factors)
Step 5: 3^√2 • 2 • 2 • 3 (simplify the square root of 24)
Correct order: Step 1, Step 2, Step 3, Step 4, Step 5
Answer choices:
1. 3√2 • 2 • 3 + 5√3 - 3√2 • 2 • 2 • 3 (incorrect order)
2. 9√3 (incorrect order)
3. 6√3 + 5√3 - 2 3√3 (incorrect order)
4. 2 • 3√3 + 5√3 - 2 3√3 (incorrect order)
5. 9 3√3 (incorrect order)
6. 2 • 3√3 + 5√3 - 2 3√2 • 3 (correct order)
7. 3√2 • 6 + 5√3 - 3√4 • 6 (incorrect order)
8. 11√3 - 2 3√6 (incorrect order)
9. 11√3 - 2 3√3 (correct order)
Correct answer choices: 6, 9