# Confusing square roots

Algebra Level 2

$$\begin{eqnarray} \text{Statement 1: } \sqrt{x^2} &=& x \\\\ \text{Statement 2: } \sqrt{x^4} &=& x^2 \\\\ \text{Statement 3: } \sqrt{x^6} &=& x^3 \\\\ \text{Statement 4: } \sqrt{x^8} &=& x^4 \\\\ \end{eqnarray}$$

If $$x$$ is a real number, which of the statements above are true?

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