Question

x=rootunder7+4root3 find the x+1/x​

Answer 1

Answer:

14 is the answer.

.

X = (7 + 4√3)

.

1/X = 1/ (7 + 4√3) (a+b)(a-b) = a^2 - b^2.

= ((7 - 4√3)/ (7x7- 4×4×3)) rationalizing the numerator and denominator

= (7- 4√3) /1

= 7- 4√3.

.

(7+ 4√3)(7- 4√3) = 7x7- 4×4×3 = 49- 48 =1.

.

X+ 1/X = 7+ 4√3 +7 - 4√3 = 14.