Question

2./10
To rationalize the denominator of
311
you should multiply the expression by which fraction?

Answer 1

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by $\frac{\sqrt{11}}{\sqrt{11}}$

Step-by-step explanation:

Given

$\frac{2\sqrt{10}}{3\sqrt{11}}$

Required

To rationalize

To do this, we simply multiply the expression by the fraction of $\frac{\sqrt{11}}{\sqrt{11}}$

This gives:

$\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}$

$\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}$

$\frac{2\sqrt{110}}{3\sqrt{121}}$

Express $\sqrt{121$ as 11

$\frac{2\sqrt{110}}{3*11}$

$\frac{2\sqrt{110}}{33}$

Hence:

$\frac{2\sqrt{10}}{3\sqrt{11}}$ = $\frac{2\sqrt{110}}{33}$