CPM Homework Help : CCA2 Problem 2-27

Simplify each expression without using a calculator. Remember that to simplify expressions with radicals, you can remove perfect square factors such as in this example: $\sqrt { 18 } = \sqrt { 9 \cdot 2 } = \sqrt { 9 } \cdot \sqrt { 2 } = 3 \sqrt { 2 }$ .

$\sqrt { 50 }$
Hint (a):
What square number is a factor of $50$ ?
More Help (a):
Here is a list of square numbers to get you started:
$1^2=1\\2^2=4\\3^2=9\\4^2=16\\5^2=25\\6^2=36$

$\sqrt { 72 }$
Hint (b):
Refer to part (a).
More Help (b):
To simplify completely you need to find the largest square number that is a factor of $72$ .

$\sqrt { 45 }$
Hint (c):
Refer to part (a).