Question

Question 5 of 10Which choice is equivalent to the quotient shown here when x > 0?V1BX + 9xO A. x2B. 2xO c. x 12O D. 2xSUBMIT

Answer 1

Question

`\sqrt[]{18x^3}\text{ }(.)/(.)\text{ }\sqrt[]{9x}`
`\begin{gathered} =\text{ }\frac{\sqrt[\square]{9\text{ }*\text{ 2 }* x^2\text{ }*\text{ x }}}{\sqrt[\square]{9x}} \\ =\text{ }\frac{3x\sqrt[\square]{2x}}{3\sqrt[\square]{x}} \\ \text{Next, rationalize } \\ =\text{ }\frac{3x\sqrt[\square]{2x}}{3\sqrt[\square]{x}}\text{ }*\text{ }\frac{3\sqrt[\square]{x}}{3\sqrt[\square]{x}} \\ =\text{ }\frac{9x\text{ }*\text{ }\sqrt[\square]{2x^2}}{9x} \\ =\text{ }\sqrt[\square]{2x^2} \\ =\text{ x}\sqrt[]{2} \end{gathered}`

Final answer is Option A