### Home > PC3 > Chapter 11 > Lesson 11.1.3 > Problem11-54

11-54.

Rationalize the denominators of the following fractions.

1. $\frac { 7 } { 3 - \sqrt { 2 } }$

$\left(\frac{7}{3-\sqrt{2}}\right)\left(\frac{3+\sqrt{2}}{3+\sqrt{2}}\right)$

$\frac{7\left(3+\sqrt{2}\right)}{9-\sqrt{4}}$

1. $\frac { 1 } { \sqrt { x ^ { 3 } } }$

Multiply the numerator and denominator by $\sqrt{x}$ .