Laws of Radicals

Simplify the radical expression using the laws of radicals.

• 4

• 8

• 2

• $8^{\frac{1}{2}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• 2x

• $\left(2x\right)^{\frac{1}{3}}$

• $2x^{\frac{1}{3}}$

• $\left(2x\right)^3$

Tags

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• $\sqrt{rs}$

• $r^{\frac{1}{2}}s^{\frac{1}{2}}$

• $r^2s^2$

• $rs$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• 
• 
• 
• 

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

•  $\frac{x}{y}$  

•  $\left(\frac{x}{y}\right)^2$  

•  $\left(\frac{x}{y}\right)^{\frac{1}{2}}$  

•  $\sqrt{\frac{x}{y}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• $\frac{a^2b}{2}$

• 
  

  $\frac{ab}{2}$
  

• $\frac{ab}{4}$

• $\frac{a^2b}{4}$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• $\frac{2mn^3}{3}$

• $\frac{2mn^{\frac{1}{3}}}{3}$

• $\frac{2mn^{\frac{1}{2}}}{3}$

• $\frac{2mn^2}{3}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• $64x^2$

• $2x^2\sqrt{2}$

• $64x$

• $2x\sqrt{2x}$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• $6^{\frac{1}{3}}y^3z^3$

• $6^{\frac{1}{2}}y^2z^2$

• $36y^2z^2$

• $36y^{\frac{1}{2}}z^{\frac{1}{2}}$

Tags

CCSS.HSN.RN.A.2

Simplify the radical expression using the laws of radicals.

• $4u^2v^2$

• $4uv$

• $2uv$

• $2u^2v^2$

Tags

CCSS.HSN.RN.A.2