Question 20
SurdsSimplify: 2√3 − 6/√3 + 3/√27.
- A.1
- B.⅓√3
- C.2√3 − 5⅔
- D.6√3 − 17
Show the answer and explanation
Answer: B (⅓√3)
Explanation
6/√3 = 2√3 and 3/√27 = 3/(3√3) = 1/√3 = √3/3. So 2√3 − 2√3 + √3/3 = ⅓√3.
Simplify: 2√3 − 6/√3 + 3/√27.
Answer: B (⅓√3)
6/√3 = 2√3 and 3/√27 = 3/(3√3) = 1/√3 = √3/3. So 2√3 − 2√3 + √3/3 = ⅓√3.