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(a) If r^2 < 2 and s^2 < 2, show that rs < 2. (b) If...

(a) If r^2 < 2 and s^2 < 2, show that rs < 2.

(b) If a rational t < 2, show that t = rs for some rational r, s with r^2 < 2, s^2 < 2.

(c) Why do (a) and (b) show that that √2 * √2 = 2?

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