Prove the following inequality - a 1 -a 2 - a n 2 b 1 - b 2 - b n 2 - 1-2 - a 1 2 - b 1 2 - - a 2 2 - b 2 2 - a n 2 - b n 2 Where ar-brr-1-2-n are real-

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Purely Imaginary

Prove the fol...

Question

Prove the following inequality
${[{(a_{1} {+ a}_{2} + . . . . a_{n})}^{2} {(b_{1} + b_{2} + . . . . + b_{n})}^{2}]}^{1 / 2} < \sqrt{{a_{1}}^{2} + {b_{1}}^{2} +} \sqrt{{a_{2}}^{2} + {b_{2}}^{2}} + . . . . + \sqrt{{a_{n}}^{2} + {b_{n}}^{2}}$
Where $a_{r}, b_{r} (r = 1, 2, ., n)$ are real.

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