to rationalize the denominator of $\frac{2sqrt{10}}{3sqrt{11}}$, you should multiply the expression by which…

to rationalize the denominator of $\frac{2sqrt{10}}{3sqrt{11}}$, you should multiply the expression by which fraction?\n$\frac{sqrt{10}}{sqrt{10}}$\n$\frac{sqrt{11}}{sqrt{11}}$\n$\frac{2 - sqrt{10}}{2 - sqrt{10}}$\n$\frac{3 - sqrt{11}}{3 - sqrt{11}}$

to rationalize the denominator of $\frac{2sqrt{10}}{3sqrt{11}}$, you should multiply the expression by which fraction?\n$\frac{sqrt{10}}{sqrt{10}}$\n$\frac{sqrt{11}}{sqrt{11}}$\n$\frac{2 - sqrt{10}}{2 - sqrt{10}}$\n$\frac{3 - sqrt{11}}{3 - sqrt{11}}$

Answer

Explanation:

Step1: Recall rationalizing rule

To rationalize the denominator of a fraction with a single - square - root in the denominator like $\frac{a}{b\sqrt{c}}$, we multiply by $\frac{\sqrt{c}}{\sqrt{c}}$. Here, the fraction is $\frac{2\sqrt{10}}{3\sqrt{11}}$, and the denominator has $\sqrt{11}$.

Step2: Determine the multiplier

We multiply $\frac{2\sqrt{10}}{3\sqrt{11}}$ by $\frac{\sqrt{11}}{\sqrt{11}}$ to rationalize the denominator.

Answer:

B. $\frac{\sqrt{11}}{\sqrt{11}}$