(a) Prove that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Prove that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)(c^2 + d^2)(e^2 +
read more .. Square $ABCD$ has side length 7. What is the length of the diagonal $AC?$ [asy] size(80); pair A = (0,0); pair B = ( 7,0); pair C = (7,7); pair D = (0,7); dot("$A$", A, SW); dot("$B$", B, SE); dot("$C$", C,
NE); dot("$D$", D, NW); draw(A--B--C--D--cycle);read more .. Dec 10, 2022
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