Irrational Numbers and Radicals

Which of the following is an irrational number?

• $\sqrt{16}$

• $\frac{6}{7}$

• $\sqrt{3}$

• $7^3$

What type of number is

 $0.\overline{74}$ ? Select all that are true.

• Integer

• Rational 

• Irrational

• Real

What type of number is

 $\sqrt{2}$ ? Select all that are true.

• Integer

• Rational 

• Irrational

• Real

What type of number is

 $\sqrt{\frac{36}{9}}$ ? Select all that are true.

• Integer

• Rational 

• Irrational

• Real

The radicand of $^5\sqrt{-243}$ is  

• -3

• 3

• 5

• -243

The index of $^5\sqrt{-243}$ is  

• -3

• 3

• 5

• -243

Which of the following are mixed radicals?

• $\sqrt{72}$

• $2\sqrt{5}$

• $\sqrt{81}$

• $^5\sqrt{32}$

Which of the following are entire radicals?

• $\sqrt{5}$

• $\sqrt{90}$

• $4\sqrt{5}$

• $^3\sqrt{84}$

Which entire radical is equal to the mixed radical

 $2\sqrt{11}$  ?

•  $\sqrt{22}$  

•  $\sqrt{44}$  

•  $^2\sqrt{11}$  

•  $6.6$  
  

 $\pi$  is what kind of number. (Select all that apply)

• Real

• Whole 

• Rational

• Irrational