Operations with Radicals - TEST Intg

Simplify:

• A

• B

• C

• D

Tags

CCSS.HSN.RN.A.2

 $\frac{4\sqrt{2}}{\sqrt{7}}$  

•  $4\sqrt{14}$  

•  $\frac{12}{7}$  

•  $\frac{4\sqrt{14}}{7}$  

•  $4\sqrt{2}$  

Simplify. $\sqrt{5}\left(2+3\sqrt{5}\right)$  

• A.) $4\sqrt{5}-40$  

• B.)  $25\sqrt{2}+2$  

• C.)  $2\sqrt{5}+15$  

• D.)  $2\sqrt{3}+5$  

Tags

CCSS.HSN.RN.A.2

Simplify. $\left(2\sqrt{5}+\sqrt{2}\right)\cdot\left(-5\sqrt{5}+3\sqrt{2}\right)$  

• A.)  $-44$  

• B.)  $-8$  

• C.)  $-4\sqrt{5}+2\sqrt{3}$  

• D.)  $-44+\sqrt{10}$  

Tags

CCSS.HSN.RN.A.2

Simplify. $\sqrt{3a^2}\cdot\sqrt{15a^2}$  

• A.) $3a^2\sqrt{5}$  

• B.) $5a^2\sqrt{3}$  

• C.) $3a\sqrt{5a}$  

• D.) $\sqrt{18a^4}$  

 $2\sqrt{150}+3\sqrt{175}+4\sqrt{24}$  

•  $2\sqrt{6}+15\sqrt{7}$  

•  $18\sqrt{6}+15\sqrt{7}$  

•  $17\sqrt{13}$  

Tags

CCSS.HSN.RN.A.2

• A
• B
• C
• D

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

A radical has a radicand of 6 and an index of 5. What does the radical look like?

• $\sqrt{65}$

• $^6\sqrt{5}$

• $^5\sqrt{6}$

• $6\sqrt{5}$

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

What is the index of this radical?  $^4\sqrt{18}$  

• Square Root

• Fourth Root

• Cube Root

• Quartic Root

If a radical has no listed index, what would the index be?

(a)