Confusing square roots

Algebra Level 2

Statement 1: x2=xStatement 2: x4=x2Statement 3: x6=x3Statement 4: x8=x4 \begin{aligned} \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{aligned}

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

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