Like Radicals

Are the following like radicals?

 $\sqrt{5x}$  and  $\sqrt[3]{5x}$  

• Yes!

• No!

Answer explanation

No! These do not have the same index!

Tags

CCSS.8.NS.A.1

Are the following like radicals?

 $3\sqrt{5}$  and  $3\sqrt{x}$  

• Yes!

• No!

Answer explanation

No! These don't have the same radicand!

Tags

CCSS.8.NS.A.1

Are the following like radicals?

 $\sqrt{2x}$  and  $-\sqrt{2x}$  

• Yes!

• No!

Answer explanation

Yes! The indexes are the same (2) and the radicands are the same (2x).

Tags

CCSS.8.NS.A.1

Are the following like radicals?

 $2\sqrt{2}$  and  $\sqrt{8}$  

• Yes!

• No!

Answer explanation

No! The radicands are not the same!

Are the following like radicals?

 $\sqrt[3]{4xy}$  and  $5\sqrt[3]{4x}$  

• Yes!

• No!

Answer explanation

No! The radicands are not the same. 

Are the following like radicals?

 $\sqrt[3]{4xy}$  and  $5\sqrt[3]{4xy}$  

• Yes!

• No!

Are the following like radicals?

 $\sqrt{4xy}$  and  $5\sqrt[3]{4xy}$  

• Yes!

• No!

Answer explanation

No! The indexes are not the same. 

Which of the following are like radicals with  $3\sqrt{5}$ ?

•  $2\sqrt[3]{5}$  

•  $3\sqrt{5x}$  

•  $2\sqrt{5}$  

•  $-\sqrt{5}$  

•  $4\sqrt{3}$  

Tags

CCSS.8.NS.A.1