8.4 Operations with radical expressions

Which two terms are like radicals?

• $\sqrt{3}\ and\ \sqrt{9}$

• $\sqrt{8}\ and\ \sqrt{2}$

• $\sqrt{8}\ and\ \sqrt{4}$

• $\sqrt{8}\ and\ \sqrt{3}$

Add  $\sqrt{45}+\sqrt{125}$  

•  $34\sqrt{5}$  

•  $\sqrt{170}$  

•  $8\sqrt{5}$  

• can't add

Tags

CCSS.HSN.RN.A.2

Simplify  $\sqrt{18x^3}-\sqrt{32x^3}$  

•  $-x\sqrt{2x}$  

•  $-x\sqrt{2}$  

•  $-x\sqrt{2x^2}$  

•  $-7x^2\sqrt{x}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify  $\sqrt{7}\left(\sqrt{175}+\sqrt{35}\right)$  

•  $35+49\sqrt{5}$  

•  $1225+7\sqrt{5}$  

•  $35+7\sqrt{5}$  

•  $70$  

Tags

CCSS.HSN.RN.A.2

Simplify  $\left(\sqrt{x}-19\right)^2$  

•  $x-361$  

•  $x+361$  

•  $x-38\sqrt{x}+361$  

•  $x+38\sqrt{x}+361$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify  $\left(\sqrt{5}+7\right)\left(\sqrt{6}+2\right)$  

•  $\sqrt{30}+2\sqrt{5}+7\sqrt{6}+14$  

•  $\sqrt{30}+9\sqrt{6}+14$  

•  $\times10\sqrt{30}+14$  

•  $\sqrt{30}+14$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify  $\left(\sqrt{10}+3\right)\left(\sqrt{10}-3\right)$  

•  $1$  

•  $7$  

•  $19$  

•  $10-2\sqrt{3}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify  $\sqrt{48x^{4\ }}+\sqrt{27x^{4\ }}$  

•  $\sqrt{75x^4}$  

•  $\sqrt{75x^8}$  

•  $7x^2\sqrt{3}$  

•  $7x\sqrt{3x}$  

Tags

CCSS.HSN.RN.A.2

Simplify $\frac{\sqrt{45}}{10}+\frac{7\sqrt{5}}{10}$  

•  $10\sqrt{5}$  

•  $\sqrt{5}$  

•  $\frac{7\sqrt{50}}{10}$  

• can't simplify

Tags

CCSS.HSN.RN.A.2

Simplify $\frac{\sqrt{99}}{5x}-\sqrt{\frac{44}{x^2}}$  

•  $\frac{\sqrt{11}}{5x^2}$  

•  $\frac{\sqrt{55}}{5x^2}$  

•  $-\frac{7\sqrt{11}}{5x}$  

•  $\frac{\sqrt{11}}{5x}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2