Question 15
SurdsSimplify without using tables
(2√14 × 3√21)/(7√24 × 2√98)
- A.3√14/4
- B.3√2/4
- C.3√14/28
- D.3√2/28
Show the answer and explanation
Answer: D (3√2/28)
Explanation
Top: 6√294 = 6 × 7√6 = 42√6. Bottom: 7 × 2√6 × 2 × 7√2 = 196√12 = 392√3. So 42√6/(392√3) = 42√2/392 = 3√2/28.