Question

Which choices are equivalent to the quotient below? Check all that apply.A.2B.C.D.E.F.

Answer 1

Solution

Step 1:

Write the expression:

$\frac{\sqrt{18}}{\sqrt{9}}$

Step 2:

$\begin{gathered} \frac{\sqrt{18}}{\sqrt{9}} \\ \frac{\sqrt{2\times9}}{\sqrt{9}} \\ \\ \frac{\sqrt{2}\text{ }\times\sqrt{9}}{\sqrt{9}} \\ Note:\text{ }\sqrt{9}\text{ = 3} \\ \\ \frac{3\sqrt{2}}{3}\text{ = }\sqrt{2} \end{gathered}$$Note:\text{ }\frac{\sqrt{4}}{\sqrt{2}\text{ }}\text{ = }\sqrt{\frac{4}{2}\text{ }}\text{ = }\sqrt{2}$

Final answer

$\begin{gathered} B\text{ }\sqrt{2} \\ \\ C\text{ }\frac{\sqrt{4}}{\sqrt{2}} \end{gathered}$