Per 5 Algebra 1: REVIEW: Unit 2: Real Numbers: Part 1

When  $\sqrt{72}$  is expressed in simplest form  $a\sqrt{b}$  form, what is the value of a?

• 6

• 2

• 3

• 8

Which expression results in a rational number?

•  $\sqrt{121}\ -\ \sqrt{21}$  

•  $\sqrt{25}\ \times\sqrt{50}$  
  

•  $\sqrt{36}\div\sqrt{225}$  
  

•  $3\sqrt{5}\ +2\sqrt{5}$  
  

 Which value is equivalent to the product of 
 $4\sqrt{2}\ and\ 2\sqrt{6}?$  

•  $16\sqrt{3}$  

•  $6\sqrt{12}$  
  

•  $6\sqrt{8}$  
  

• 24 $\sqrt{2}$  

 $\sqrt{6}\ +2\sqrt{6}$  

•  $3\sqrt{6}$  

•  $-\sqrt{6}$  

•  $3\sqrt{12}$  

•  $-\sqrt{12}$  

 $2\sqrt{50\ }\ -\sqrt{2}$  

Simplify the expression.

•  $2\sqrt{48}$  

• 10

•  $9\sqrt{2}$  

•  $49\sqrt{2}$  

Which statement is not always true?

• The product of two irrational numbers is irrational.

• The product of two rational numbers is rational.

• The sum of two rational numbers is rational.

• The sum of a rational number and an irrational number is irrational.

The product of 

 $\sqrt{576}$  and  $\sqrt{684}$  is

• irrational because both factors are irrational

• rational because both factors are rational

• irrational because one factor is irrational

• rational because one factor is rational