Simplifying Radicals

The number under the radical sign or square root sign  is called the ______.

• radical sign
• radicand
• factor
• exponent

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify completely.

• 8√3xy

• y√24xy

• 8y√3xy

• 8√24x

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the radical expression:
 $\sqrt{2x^2y^3}$  

•  $2y\sqrt{xy}$  

•  $2x\sqrt{y^2}$  

•  $y\sqrt{2xy}$  

•  $xy\sqrt{2y}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the radical expression:
 $\sqrt{128a^3b^4}$  

•  $8ab^2\sqrt{2a}$  

•  $2a\sqrt{8ab^2}$  

•  $2ab\sqrt{64ab}$  

•  $64ab^2\sqrt{2a}$  

Tags

CCSS.HSN.RN.A.2

Simplify the radical:
 $\sqrt{98}$  

•  $2\sqrt{7}$  

•  $7\sqrt{2}$  

•  $14\sqrt{2}$  

•  $49\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

Simplify the radical expression:
$\sqrt{27m^7p^{4\ }}$

• $3m\sqrt{3m^3p^2}$

• $3m^3p^2\sqrt{3m}$

• $9mp\sqrt{3m}$

• $9m^3p^2\sqrt{3m}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the following:

• A

• B

• C

• D

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• A

• B

• C

• D

Rationalize the denominator.

• A

• B

• C

• D

Tags

CCSS.HSN.RN.A.2