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  4. If a b c d=1 where a, b, c, d are positive reals then the minimum value of a2+b2+c2+d2+a b+a c+a d+b c+b d+c d is

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Q. If $a b c d=1$ where $a, b, c, d$ are positive reals then the minimum value of $a^{2}+b^{2}+c^{2}+d^{2}+a b+a c+a d+b c+b d+c d$ is

Sequences and Series

Solution:

Use $A M \geq G M$ between the given $10$ numbers i.e. $a^{2}, b^{2}, c^{2}, d^{2}, a b, a c, a d, b c, b d$, and $c d$