# 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?

×