Operations with Radicals

To rationalize, you need to multiply by:

• $\frac{4}{4}$

• $\frac{\sqrt{3}}{\sqrt{3}}$

• $\frac{4}{\sqrt{3}}$

• $\frac{\sqrt{3}}{4}$

To rationalize, you need to multiply by:

• $\frac{\sqrt{7}}{\sqrt{7}}$

• $\sqrt{2}$

• $\frac{\sqrt{2}}{\sqrt{2}}$

• $\frac{\sqrt{7}}{\sqrt{2}}$

 $\frac{\sqrt{3}}{\sqrt{12}}\ is\ the\ same\ as\ \sqrt{\frac{3}{12}}$  

• True

• False

Which option best represents the simplification of  $\sqrt{\frac{13}{5}}$  

•  $\frac{\sqrt{13}}{\sqrt{5}}$  x  $\frac{5}{5}$  

•  $\sqrt{\frac{13}{5}}$  x  $\frac{5}{5}$  

•  $\sqrt{\frac{13}{5}}$  x  $\frac{\sqrt{13}}{\sqrt{13}}$  

•  $\frac{\sqrt{13}}{\sqrt{5}}$  x  $\frac{\sqrt{5}}{\sqrt{5}}$  

Which option best represents the expression?

• $\sqrt{\frac{2}{3}}$

• $\frac{4}{9}$

• $\sqrt{\frac{4}{9}}$

• $\frac{3}{2}$

Tags

CCSS.HSN.RN.A.2

Are these steps correct?
 $\sqrt{\frac{5}{20}}=\ \frac{\sqrt{1}}{\sqrt{4}}=\frac{1}{2}$  

• Yes

• No

 $\sqrt{20}\times\sqrt{5}$  

•  $\sqrt{10}$  
  

•  $\sqrt{100}$  
  

•  $5\sqrt{20}$  
  

•  $\sqrt{30}$  
  

 $\sqrt{5}\times\sqrt{10}$  Which option is correct?

• 50

•  $5\sqrt{10}$  
  

•  $\sqrt{5^2.2}$  
  

•  $\sqrt{15}$  
  

• 8√6
• 8√12
• 12√6
• 12√12

 $6\sqrt{2}\times5\sqrt{14}$  Which option is correct:

• 840

•  $30\sqrt{28}$  
  

•  $11\sqrt{16}$  
  

•  $6\sqrt{2}+5\sqrt{14}$