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divide and simplify. \\(\\frac{\\sqrt4{12x^3}}{\\sqrt4{3x^2}}\\) \\(\\f…

Question

divide and simplify.
\\(\frac{\sqrt4{12x^3}}{\sqrt4{3x^2}}\\)
\\(\frac{\sqrt4{12x^3}}{\sqrt4{3x^2}} = \square\\)
(simplify your answer. type an exact ans

Explanation:

Step1: Combine roots into one

$\frac{\sqrt[4]{12x^3}}{\sqrt[4]{3x^2}} = \sqrt[4]{\frac{12x^3}{3x^2}}$

Step2: Simplify the fraction inside

$\sqrt[4]{\frac{12x^3}{3x^2}} = \sqrt[4]{4x}$

Answer:

$\sqrt[4]{4x}$