nth Roots

Simplify

 $^3\sqrt{125}$  

• 5

• 15

• 25

• 41.7

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify

 $^5\sqrt{-32}$  

• 2

• -2

• 6.4

• -6.4

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify

 $^4\sqrt{405}$  

•  $3\ \cdot^{\ 3}\sqrt{5}$  
  

•  $5\cdot\ ^3\sqrt{3}$  
  

• 101.25

• 20.1

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify

 $^3\sqrt{81x^8y^5}$  

•  $3x^2y^{\ }\cdot\ ^3\sqrt{xy}$  
  

•  $9xy$  
  

•  $3x^2y^{\ }\cdot^{\ 3}\sqrt{3x^2y^2}$  
  

•  $27x^8y^5$  
  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve by taking nth roots: $\left(2x-3\right)^3\ =\left(3x\ -8\right)^3$  

•  $x\ =\ 3$  

•  $x\ =\ 4$  
  

•  $x\ =\ 5$  
  

•  $x\ =\ 6$  
  

Tags

CCSS.HSA.REI.A.2

What is the FIRST step when solving: $\left(4m-7\right)^9\ =\left(3m\ +23\right)^9$  

•  $m\ =\ 30$ 

• Divide both sides by 9

• Take  the 9th root of both sides

• Add 7 to both sides

What is the FIRST step when solving:

 $7x^3\ -\ 25\ =\ 164$  

•  $x\ =\ 3$ 

• Divide both sides by 7

• Take  the 3rd root of both sides

• Add 25 to both sides

Tags

CCSS.HSA.REI.A.1

Solve:

 $7x^3\ -\ 25\ =\ 164$  

•  $x\ =\ 3$ 

•  $x\ =4$  
  

•  $x\ =9$  
  

•  $x\ =2$  
  

Tags

CCSS.HSA.CED.A.1

Solve:

 $2x^4\ -\ 32\ =\ 64$  

•  $x\ =\ \pm3$ 

•  $x\ =\pm4$  
  

•  $x\ =\pm2\cdot\ ^4\sqrt{6}$  
  

•  $x=\pm6\ \cdot\ ^4\sqrt{2}$  
  

Tags

CCSS.HSA.APR.B.3

When taking the cube root of a number using a factor tree, how many of a kind do you group together?

• 2

• 3

• 4

• 5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2