First slide

Means - A.M/G.M/H.M

Question

$If \log_{2} (a + b) + \log_{2} (c + d) \geq 4, where a, b, c are positive numbers. Then the$ $minimum value of expression a + b + c + d is$

Moderate

A

2
B

4
C

8
D

16

Solution

$(a + b) (c + d) \geq 16 ∵ A M \geq G M, w e h a v e$
$\frac{(a + b) + (c + d)}{2} \geq \sqrt{(a + b) (c + d)} \geq 4 \Rightarrow a + b + c + d \geq 8$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App