Question

I need help understand why sqrt(x^5) = x^2sqrt(x)

Answer 1

$\bf \sqrt{x^5}\implies \sqrt{x^{2+2+1}}\implies \sqrt{x^2\cdot x^2\cdot x^1}\implies \sqrt[\underline{2}]{(x^2)^{\underline{2}}\cdot x^1} \\\\ (x^2)\sqrt[2]{x^1}\implies x^2\sqrt{x}$