Windows Calculator

Logic Level 1

I tried to find the value of (42) (\sqrt 4 - 2) in my Windows calculator, and concluded that 4<4 4 < 4 . In which of these steps did I make a flaw in my logic?

Step 1: The windows calculator evaluates that 42=1.068281969439142×1019 \sqrt{4} - 2 = -1.068281969439142 \times 10^{-19} which is less than 00. So we can conclude that:

42<0. \sqrt4 - 2 < 0 .

Step 2: Add 22 to both sides of the inequality to obtain:

4<2. \sqrt{4} < 2 .

Step 3: Since both terms are positive, we can square both sides to obtain:

4<4 4 < 4

In which of these step did I make a flaw in my logic?

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