Simplify Radical Expressions

Given the notation  $3\cdot\sqrt{45}$  is this a form of long division?

• yes

• no

Given the notation  $3\cdot\sqrt{45t^2}$  what is the variable?

• 2

• 3

• 45

• t

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{75g^3}$  

•  $5g\sqrt{3g}$  

•  $3g\sqrt{5g}$  

•  $75\sqrt{g^3}$  

•  $15\sqrt{3g^3}$  

Tags

CCSS.HSN.RN.A.2

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{20b^2}$  

•  $5\sqrt{b^2}$  

•  $10\sqrt{2b}$  

•  $2b\sqrt{5}$  

•  $20b$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{50a^7}$  

•  $25\sqrt{3a^4}$  

•  $25\sqrt{2a}$  

•  $5a^3\sqrt{2a}$  

•  $25a^2\sqrt{3a}$  

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{18w}$  

•  $6w\sqrt{2}$  

•  $18\sqrt{w}$  

•  $2\sqrt{3w}$  

•  $3\sqrt{2w}$  

Simplify. Assume the variable is greater or equal to zero.  $4\cdot\sqrt{18c^3}$  

•  $12c\sqrt{2c}$  

•  $6c\sqrt{6c}$  

•  $81\sqrt{c^2}$  

•  $2c\sqrt{16c}$  

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{45a^{10}}$  

•  $5a^2\cdot\sqrt{2a}$  

•  $3a^5\cdot\sqrt{5}$  

•  $5a^3\cdot\sqrt{4a}$  

•  $2a^2\cdot\sqrt{a}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify. Assume the variable is greater or equal to zero.  $4\cdot\sqrt{50y^7}$  

•  $20y\cdot\sqrt{3y}$  

•  $20y^2\cdot\sqrt{3y}$  

•  $20y\cdot\sqrt{2y}$  

•  $20y^3\cdot\sqrt{2y}$  

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{12t^5}$  

•  $2t^2\cdot\sqrt{3t}$  

•  $3t\cdot\sqrt{2t}$  

•  $4t\cdot\sqrt{3t}$  

•  $3t^2\cdot\sqrt{2t}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2