Question

What is sqrt12x^8/sqrt3x^2 in simplest form

Answer 1

2x^3 (C on edge)

Explanation:

Answer 2

`\bf \cfrac{√(12x^8)}{√(3x^2)}~~ \begin{cases} 12=&2\cdot 2\cdot 3\\ &2^2\cdot 3\\ x^8=&x^(4\cdot 2)\\ &(x^4)^2 \end{cases}\implies \cfrac{√(2^2\cdot 3(x^4)^2)}{√(3x^2)}\implies \cfrac{2\stackrel{x^2}{~~\begin{matrix} x^4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} ~~\begin{matrix} √(3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ ~~\begin{matrix} √(3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 2x^2`