Question

Use the methods from this lesson to write the expression in simplest form. Assume x>0.

Answer 1

Explanation

Step 1

$\begin{gathered} 6\sqrt[4]{32x}\text{ -}\sqrt[4]{512x}\text{ + }\sqrt[4]{16x^4} \\ 6\sqrt[4]{2\cdot16x}\text{ -}\sqrt[4]{2^9x}\text{ + }\sqrt[4]{2^4x^4} \\ 6\sqrt[4]{2\cdot2^4x}\text{ -}\sqrt[4]{2^9x}\text{ + }\sqrt[4]{2^4x^4} \\ 6\cdot2\sqrt[4]{2\cdot x}\text{ -}\sqrt[4]{2^{^4}\cdot2^4\cdot2x}\text{ + }2x \\ 12\sqrt[4]{2x}\text{ -4}\sqrt[4]{2^{}x}\text{ + }2x \\ 8\sqrt[4\text{ }]{2x}+2x \end{gathered}$