# Answer to Question #3400 in Real Analysis for junel

Question #3400

If a,b ϵ R, show that a

^{2}+ b^{2}= 0, if and only if a = 0 and b = 0Expert's answer

For any n n

Thus the sum of two positive numbers is always greater or equal to zero.

If a > 0 and b = 0 then a

^{2}>=0.Thus the sum of two positive numbers is always greater or equal to zero.

If a > 0 and b = 0 then a

^{2}+ 0^{2}> 0, analogously for b > 0 and a = 0. Thus we see to satisfy the expression a^{2}+ b^{2}= 0, a and b must be equal to zero at the same time.Need a fast expert's response?

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