Simplifying Radicals

 $\sqrt{48}$  

• 4√2

• 6√3

• 4√3

• 4√2

Simplify the following radical: 2√24

• 4√6
• 2√6
• 24√2
• 4√4

Tags

CCSS.HSN.RN.A.2

• 7√3
• Can't Simplify
• 6√15
• 6√3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the following radical: √300

• 3√10
• 2√150
• 100√3
• 10√3

Tags

CCSS.HSN.RN.A.2

Add Like Terms: √20 + √45

• √65

• √5

• 5√5

• -2√5

Answer explanation

$\sqrt{4\cdot5}+\sqrt{9\cdot5}=2\sqrt{5}+3\sqrt{5}$

 $\sqrt{27}+10\sqrt{3}$  

•  $13\sqrt{3}$  

•  $10\sqrt{30}$  

•  $13\sqrt{6}$  

•  $19\sqrt{3}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $2\sqrt{3}\left(\sqrt{6}-\sqrt{3}\right)$ 

•  $6\sqrt{2}-6$  

•  $3\sqrt{2}+3$  

•  $6-\sqrt{3}$  

•  $\sqrt{3}-\sqrt{2}$  

Answer explanation

 $2\sqrt{18}-2\sqrt{9}=2\sqrt{9\cdot2}-2\left(3\right)$ 

 $2\sqrt{3}\left(\sqrt{27}-8\sqrt{6}\right)$  

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

•  $53+10\sqrt{6}$  

•  $103+10\sqrt{6}$  

•  $59+10\sqrt{6}$  

•  $63\sqrt{6}$  

Answer explanation

 $\left(5\sqrt{2}+\sqrt{3}\right)\left(5\sqrt{2}+\sqrt{3}\right)=25\sqrt{4}+5\sqrt{6}+5\sqrt{6}+\sqrt{9}$  

 $5\sqrt{3}\left(8\sqrt{12}-3\sqrt{48}\right)$  

•  $20\sqrt{3}$  

•  $60$  

•  $27$  

• Not here

Answer explanation

 $5\sqrt{3}\left(8\sqrt{4\cdot3}-3\sqrt{16\cdot3}\right)$  
 $5\sqrt{3}\left(16\sqrt{3}-12\sqrt{3}\right)$  

 $5\sqrt{3}\left(4\sqrt{3}\right)$