document.write( "Question 176126: I need to simplify a square root that contains a fraction. The numerator is itself a fraction. It is one plus the square root of 2 over just 2. That is, the numerator of the fraction within the radical is first 1, then the latter 1 is plus the square root of 2 with a denominator of 2 . Then the denominator of the entire radical is 2. I know that this first fractional radical can be simplified to a radical with the numerator of 2 plus the square root of 2 with a denominator of 4. But I do not know the process whereby the first radical is simplified to the next radical. I would appreciate very much an explanation about how this first radical is simplified to the second radical. \n" ); document.write( "

Algebra.Com's Answer #131300 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The numerator is itself a fraction. It is one plus the square root of 2 over just 2. That is, the numerator of the fraction within the radical is first 1, then the latter 1 is plus the square root of 2 with a denominator of 2 . Then the denominator of the entire radical is 2. I know that this first fractional radical can be simplified to a radical with the numerator of 2 plus the square root of 2 with a denominator of 4. But I do not know the process whereby the first radical is simplified to the next radical. I would appreciate very much an explanation about how this first radical is simplified to the second radical.
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\n" ); document.write( "Is this what you mean? $\"%28sqrt%281%2B%28sqrt%282%29%2F2%29%29%2F2%29\"$ \n" ); document.write( "

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