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0
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avatar+91 

how the h**l do you simplify this

 Nov 30, 2016

Best Answer 

 #2
avatar+37153 
+10

Another way....you are dividing by a fraction, so flip the denominator and multiply

 

(1 + sqrt(2))  x  2/sqrt (2)=  2/ sqrt2  +1

 

Then simplify the first term by multiplying by   sqrt2/sqrt2

sqrt2/sqrt2 (2/sqrt2)     + 1 =      1 + sqrt2

 Nov 30, 2016
 #1
avatar+129899 
+5

This isn't as bad as it looks

 

[ 1 + √2 / 2 ]  /  [√2 / 2]      get a common denominator on top

 

[ (2 + √2 ) / 2 ]  /  [√2 / 2]      the "2's"  in each denominator "cancel"

 

[2 +  √2 ]  /  √2    =

 

2/√2    +    √2 / √2   =

 

[√2 * √2 ]  / √2     +     √2 / √2

 

√2  + 1

 

 

And that's it  !!!

 

 

 

cool cool cool

 Nov 30, 2016
 #2
avatar+37153 
+10
Best Answer

Another way....you are dividing by a fraction, so flip the denominator and multiply

 

(1 + sqrt(2))  x  2/sqrt (2)=  2/ sqrt2  +1

 

Then simplify the first term by multiplying by   sqrt2/sqrt2

sqrt2/sqrt2 (2/sqrt2)     + 1 =      1 + sqrt2

ElectricPavlov Nov 30, 2016
 #3
avatar+129899 
+5

Here's another possibility...just slpit the original problem up as

 

1 /  [√2 / 2 ]  +     [√2 / 2 ]  /  [√2 / 2 ]   =

 

2/√2     +  1   

 

[ √2 * √2]  /  √2    + 1  =

 

√2    +   1  

 

 

This is definitely easier than my first approach  !!!

 

 

 

 

cool cool cool

 Nov 30, 2016
 #4
avatar+129899 
0

Thanks, EP....you saw the more simple way faster than I did!!!!

 

 

 

cool cool cool

 Nov 30, 2016
 #5
avatar+91 
0

Thanks for your help guys!!!

 Nov 30, 2016

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