CPM Homework Help : A2C Problem 4-31

Simplify each expression without using a calculator. Remember that to simplify expressions with radicals, you can remove perfect square factors. Part (a) below is provided as an example.

$\sqrt { 18 } = \sqrt { 9 \cdot 2 } = \sqrt { 9 } \cdot \sqrt { 2 } = 3 \sqrt { 2 }$

$\sqrt { 50 }$

Hint (b):

What square number is a factor of 50?

Answer (b):

$5\sqrt{2}$

$\sqrt { 72 }$

Hint (c):

Use the same method as in parts (a) and (b).

More Help (c):

To simplify completely you need to find the largest square number that is a factor of 72.

$\sqrt { 45 }$
Hint (d):
Use the same method as in parts (a) and (b).