2023 · Q12
If x = 97 + 56√3, then what is the value of x^(1/4) + 1/x^(1/4)?
Elementary MathematicsAlgebra
- A7
- B6
- C5
- D4
Explanation
97+56 sqrt3=(7+4 sqrt3)^2 and 7+4 sqrt3=(2+sqrt3)^2, so x^(1/4)=2+sqrt3 and its reciprocal is 2-sqrt3; sum=4. Option (d).