Windows Calculator

Logic Level 1

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

Step 1: The windows calculator evaluates that \( \sqrt{4} - 2 = -1.068281969439142 \times 10^{-19} \) which is less than \(0\). So we can conclude that:

\[ \sqrt4 - 2 < 0 . \]

Step 2: Add \(2\) to both sides of the inequality to obtain:

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

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

\[ 4 < 4 \]

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

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