Simplifying radicals

Simplify  $\sqrt{12}$  . In this case, "simplify" means

• Dividing common factor

• Taking the perfect square out of the square root

• Making the denominator free of square root

Which is equivalent to  $\sqrt{12}$  ?

•  $3\sqrt{2}$  

• 6

•  $2\sqrt{3}$  

The simplest form of  $\sqrt{32}$  is

•  $4\sqrt{2}$  

•  $2\sqrt{8}$  

•  $8\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

Simplify  $3\sqrt{20}$  

•  $2\sqrt{5}$  

•  $6\sqrt{5}$  

•  $15\sqrt{2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Estimate the value of $\sqrt{15}$  

• 7.5

• 15

• 3.9

 $10\sqrt{5}-12\sqrt{5}$ is equivalent to

• 10

•  $-2\sqrt{5}$  

•  $2\sqrt{5}$  

 $2\sqrt{3}+5\sqrt{3}$  is equivalent to

•  $7\sqrt{3}$  

• 21

•  $7\sqrt{6}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $-3\sqrt{6}\cdot2\sqrt{2}$  Multiply and then simplify

•  $-6\sqrt{12}$  

•  $-12\sqrt{3}$  

•  $6\sqrt{12}$  

 $-3\sqrt{10}\cdot-\sqrt{8}$  Multiply and then simplify

•  $12\sqrt{5}$  

•  $-12\sqrt{5}$  

•  $3\sqrt{80}$  

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

•  $\sqrt{36}$  

• 6

•  $6\sqrt{3}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2