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Simplify the expression  \[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]

 Jan 11, 2018
 #1
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1 / √2    +  3 / √8   +  6 / √32   

 

1 / √2  +  3 / [ 2 √2]  +  6 / [ 4 √2 ]

 

1 / √2    +  3 / [ 2 √2]  + 3 / [ 2 √2 ]

 

2 / [ 2 √2]  +  6 / [ 2 √2]  

 

8 /  [ 2 √2 ]  

 

4  / √2  

 

4 *√2  /  [ √ 2 * √ 2 ]

 

4 * √2  /  2  

 

(4/2) √2

 

2√2

 

 

cool cool cool

 Jan 11, 2018

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