SOLUTION: Hello. Can someone tell me if I am correct? in words it is 2x minus the square root of seven divided by 2x plus the square root of seven. I got -------- -1 is this correct?

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Question 83381: Hello. Can someone tell me if I am correct? in words it is 2x minus the square root of seven divided by 2x plus the square root of seven. I got -------- -1 is this correct? 2x-sq7 divided by 2x +sq7 Thanks
Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
Hello. Can someone tell me if I am correct? in words it is 2x minus the square root of seven divided by 2x plus the square root of seven. I got -------- -1 is this correct? 2x-sq7 divided by 2x +sq7 Thanks

No it isn't.



You must multiply by .

It's legal to multiply by that because it just equals to 1. 

·

or:



Now FOIL out the numerator and denominator:



The two middle terms combine together in the 
top as 

The two middle terms  CANCEL OUT in the bottom.

So we have as the final answer:



Notice that in the original expression there were radicals in BOTH
the top AND the bottom.  In the final answer, the bottom contains NO
radicals.  That's the idea -- to rewrite as an expression with NO
radicals in the bottom.  The above method causes the radicals to
cancel out in the bottom.

Edwin


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