2010 · Q3
What is 1/(√9-√8) - 1/(√8-√7) + 1/(√7-√6) - 1/(√6-√5) + 1/(√5-√4) equal to?
Elementary MathematicsAlgebra
- A0
- B1
- C5
- D1/3
Explanation
Each term 1/(√n-√(n-1)) = √n+√(n-1); telescoping gives 3+2 = 5.
What is 1/(√9-√8) - 1/(√8-√7) + 1/(√7-√6) - 1/(√6-√5) + 1/(√5-√4) equal to?
Explanation
Each term 1/(√n-√(n-1)) = √n+√(n-1); telescoping gives 3+2 = 5.