Multiply Radicals & some radical review problems

Hint: You can multiply any 2 radicals together. You can only add or subtract if the radical is the same. Make sure all radicals are in simplest form - no perfect square factors under the radical!

• I got this!

• I think I have this!

• I am really confused.

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Simplify:
√10 ⋅ √45

• 3√50
• 8√2
• √450
• 15√2

Tags

CCSS.HSN.RN.A.2

Which is the simplest form of $\sqrt{3}\cdot\sqrt{12}$  

•  $\sqrt{36}$  

• 6

•  $6\sqrt{3}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

Simplify: √5 × √10

• 50

• 2√5

• 5√2

• 5√10

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

 $4\sqrt{3}\left(8\sqrt{3}\right)$  

•  $32\sqrt{3}$  

•  $32\sqrt{6}$  

• 96

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

 $3\sqrt{5}\left(2\sqrt{4}\right)$  

•  $6\sqrt{20}$  No, not simplified!

•  $5\sqrt{20}$  

•  $6\sqrt{5}$  

•  $12\sqrt{5}$  

Tags

CCSS.HSN.RN.A.2

 $9\sqrt{2}\left(4\sqrt{6}\right)$  

•  $36\sqrt{12}$  No! Not simplified!

•  $72\sqrt{3}$  

•  $36\sqrt{3}$  

Tags

CCSS.HSN.RN.A.2

Simplify $\sqrt{2}\left(\sqrt{3}+5\right)$

• $\sqrt{6}+5\sqrt{2}$

• $\sqrt{6}+\sqrt{10}$

• $\sqrt{5}+5\sqrt{2}$

• $\sqrt{5}+\sqrt{10}$

Tags

CCSS.HSN.RN.A.2

Simplify:
6√2 ⋅5√14

• 32√7
• 60√7
• 2√7
• 30√7

Tags

CCSS.HSN.RN.A.2

Simplify 2√5(3√3+6√2)

• 6√15+12√10
• 15√6+30√10
• 90
• 6√10+12√6

Tags

CCSS.HSN.RN.A.2