Adding and subtracting irrational numbers

If x = √7 and y = √11, what is the value of x - y?

• √(7 - 11)

• x + y

• x - y = √7 - √11

• √(11 - 7)

Simplify 
3√18 - 2√2

• 7√2
• √16
• √2
• Already simplified 

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 $-3\sqrt{6}+5\sqrt{24}$  

•  $17\sqrt{6}$  

•  $17\sqrt{6}$  

•  $7\sqrt{6}$  

 $-14\sqrt{3x}$  + $4\sqrt{3x}$  

•  $-18\sqrt{3x}$  

•  $-10\sqrt{3x}$  

•  $-\sqrt{3x}$  

•  $10\sqrt{3x}$  

Simplify:

 $3\sqrt{10}+5\sqrt{10}$  

•  $8\sqrt{10}$  

•  $8\sqrt{20}$  

•  $16\sqrt{5}$  

 $\sqrt{5}$  

Mathematical Equivalence

ON

Simplify 
 $-2\sqrt{2}-3\sqrt{8}-\sqrt{5}$  

•   $8\sqrt{2}-\sqrt{5}$  

•  $-8\sqrt{2}-\sqrt{9}$  

•  $-14\sqrt{3}-\sqrt{7}$  

•  $-2\sqrt{4}-\sqrt{3}$  

Perform the operation.  Express your answer in simplest form.

• 4√47
• -4√47
• 1
• 16√6  -  15√5