2012 · Q31
What is the mean proportional between (15 + sqrt(200)) and (27 - sqrt(648))?
Elementary MathematicsAlgebra
- A4
- B14*sqrt(7)
- C3*sqrt(5)
- D5*sqrt(3)
Explanation
(15+10*sqrt(2))*(27-18*sqrt(2)) = 405 - 360 = 45, and sqrt(45) = 3*sqrt(5).
What is the mean proportional between (15 + sqrt(200)) and (27 - sqrt(648))?
Explanation
(15+10*sqrt(2))*(27-18*sqrt(2)) = 405 - 360 = 45, and sqrt(45) = 3*sqrt(5).