2012 · Q44
If a = 2 + sqrt(3), then what is the value of (a^2 + a^-2)?
Elementary MathematicsAlgebra
- A12
- B14
- C16
- D18
Explanation
a^2 = 7+4*sqrt(3) and a^-2 = 7-4*sqrt(3), so their sum is 14.
If a = 2 + sqrt(3), then what is the value of (a^2 + a^-2)?
Explanation
a^2 = 7+4*sqrt(3) and a^-2 = 7-4*sqrt(3), so their sum is 14.