CW: Adding and Subtracting Radicals

√5 + √20

• 5
• 25
• 3√5
• 2√3

• 5

• 10

• Already simplified.  One cannot add these since the two radicands are simplified and are not exactly the same.

What is the first step to simplify radicals in addition and subtraction?

• Break down radicals into their prime factors

• Combine like terms by multiplying the coefficients

• Find perfect square factors to simplify further

• Use the quotient rule to simplify radicals

 $2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$  

•  $24\sqrt{3}$  

•  $24\sqrt{3}+5\sqrt{8}$  

•  $14\sqrt{3}+10\sqrt{2}$  

Simplify the expression: 2√3ab - 3√3ab.

• -√3ab
• √3ab

• 5√3ab

• -√6ab

Simplify the expression: -3√27k - 3√3k.

• -6√3k
• -12√3k

• 0

• 3√27k

Simplify the expression: 2√24m - 2√54m.

• -2√6m
• 0

• √6m

• √30m