CPM Homework Help : A2C Problem 4-81

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4-81.

Simplify each radical expression.

$( 3 \sqrt { 2 } ) ^ { 2 }$
Hint (a):
$\left(3\sqrt{2}\right)\left(3\sqrt{2}\right)$
Answer (a):
$18$

$\sqrt { \frac { 9 } { 4 } }$
Hint (b):
Find the square root of both the numerator and denominator.
Answer (b):
$\frac{3}{2}$

$\sqrt { \frac { 1 } { 3 } }$
Hint (c):
Think of this as $\sqrt{\frac{3}{9}}$ . Then refer to part (b).

$( 3 + \sqrt { 2 } ) ^ { 2 }$
Hint (d):
$\left(3+\sqrt{2}\right)\left(3+\sqrt{2}\right)$

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