Question

if a is equal to 7 minus 4 root 3 find the value of root a + 1 by root a

Answer 1

Consider, a = 7 – 4√3 = 7 – 2×2×√3 = 4 + 3 – 2×2× √3 = 22 + (√3)2 – 2×2× √3 a = (2 – √3)2 ∴ √a = 2 – √3    Hence [(√a)+ (1/√a)] = 2 – √3  +2 + √3                                                = 4