asked 17.8k views
1 vote
I need help understand why sqrt(x^5) = x^2sqrt(x)

1 Answer

5 votes

\bf √(x^5)\implies \sqrt{x^(2+2+1)}\implies √(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√(x)
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