CPM Homework Help : PC3 Problem 11-54

Rationalize the denominators of the following fractions.

$\frac { 7 } { 3 - \sqrt { 2 } }$
Step 1(a):
$\left(\frac{7}{3-\sqrt{2}}\right)\left(\frac{3+\sqrt{2}}{3+\sqrt{2}}\right)$
Step 2(a):
$\frac{7\left(3+\sqrt{2}\right)}{9-\sqrt{4}}$

$\frac { 1 } { \sqrt { x ^ { 3 } } }$
Hint (b):
Multiply the numerator and denominator by $\sqrt{x}$ .