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What is the √2 divided by 2?

Could you show me the steps how to solve? Please keep the answer in the root.

 Oct 22, 2017
 #1
avatar+98125 
+2

Note that 2  = √2 * √2

 

So

 

√2 / 2  =  √2 /   [√2 * √2 ]   =    1 / √2

 

 

cool cool cool

 Oct 22, 2017
 #2
avatar+637 
+2

I agree with you CPhill, but isn't a fraction not allowed to have a square root in the denominator?

 

I think we are supposed to multiply both the numerator and denominator by the square root of 2. 

 

√2/2 is the final answer. 

 Oct 22, 2017
 #3
avatar+98125 
+1

But...if we did that....we would just end up with what we started with.....

 

Besides   1 / √2    is just a number.......there's no "voodoo" associated with having a root in the denominator

 

 

 

cool cool cool

 Oct 22, 2017

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