If x = 7 – 4 √3 find the value of \(\sqrt x + \frac{1}{{\sqrt x }}\) A. 0 B. 1 C. 4 D. -4

7 − 4√3 = 4 − 4√3 + 3 = (2 − √3)², so √x = 2 − √3. Then 1/√x = 1/(2 − √3) = (2 + √3)/(4 − 3) = 2 + √3. Adding: √x + 1/√x = (2 − √3) + (2 + √3) = 4.