If `agt0,bgt0,cgt0,` then the minimum value of `sqrt((4a)/(b))+root(3)((27b)/(c))+root(4)((c)/(108a)),` isA. 4B. 5C. 3D. 9

If `agt0,bgt0,cgt0,` then the minimum value of `sqrt((4a)/(b))+root(3)

1.	If `agt0,bgt0,cgt0,` then the minimum value of `sqrt((4a)/(b))+root(3)((27b)/(c))+root(4)((c)/(108a)),` isA. 4B. 5C. 3D. 9
Answer» Correct Answer - D Using `(la+mb+nc)/(l+m+n)ge(a^(l)b^(m)c^(n))^((1)/(l+m+n))`, we obtain `(sqrt((4a)/(b))+root(3)((27b)/(c))+root(4)((c)/(108a)))/(2+3+4)` `ge{(sqrt((4a)/(b)))^(2)xx(root(3)((27b)/(c)))^(2)xx(root(4)((c)/(180a)))^(4)}^((1)/(2+3+4))` `implies" "sqrt((4a)/(b))+root(3)((27b)/(c))+root(4)((c)/(108a))ge9`

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