Practicing Success
Practicing Success
CUET Preparation Today
If a, b, c, d are four positive real numbers such that abcd = 1, then minimum value of (1+ a) (1 + b) (1 + c) (1 + d) is |
8 12 16 20 |
16 |
Applying AM ≥ GM $\frac{1+a}{2} \geq(a)^{1 / 2}, \frac{1+b}{2} \geq(b)^{1 / 2}, \frac{1+c}{2} \geq(c)^{1 / 2}, \frac{1+d}{2} \geq(d)^{1 / 2}$ Multiplying all focus (1 + a) (1 + b)(1 + c)(1 + d) ≥ 16 |
