Operations on irrational numbers

How are you feeling about simplifying, adding and subtracting radicals?

• I feel awesome! This is fun and easy.

• I feel pretty good. I'm getting the hang of it.

• I feel okay...I sort of get it...I think.

• Help! I'm so confused.

Evaluate.

• 23

• 179

• 3

• 24

Simplify: $\sqrt{3}+5\sqrt{3}$  

•  $5\sqrt{3}$  

•  $5\sqrt{6}$  

•  $6\sqrt{3}$  

•  $5\sqrt{9}$  

 $5\sqrt{121}-3\sqrt{49}$  

•  $2\sqrt{4}$  

• 60

• 72

• 34

Addition of irrational numbers... Closed/not closed

• Closed

• Not Closed

 $7\sqrt{2}$  +  $\sqrt{2}$  

•  $7\sqrt{2}$  

•  $7\sqrt{2^2}$  

•  $8\sqrt{2}$  

•  $7\sqrt{4}$  

 $9\sqrt{13}$   $-\ 11\sqrt{13}$  

• -2 $\sqrt{13}$  

• 2 $\sqrt{13}$  

• 2 $\sqrt{26}$  

•  $-2\sqrt{26}$  

When is the sum of two irrational numbers an integer

• Never

• Always

• Sometimes

Simplify: 
 $4\sqrt{72}-2\sqrt{18}$  

•  $18\sqrt{2}$  

•  $2\sqrt{54}$  

•  $30\sqrt{2}$  

•  $3\sqrt{2}$  

4√7 - 10 √7 + 7√7

• -6√7

• 14√7

• -3√14

• √7