SOLUTION: Okay I have tried everything. I get so close every time, but I just cannot finish the problem so here it is. Square root 1/2 - Square root 1/8 From looking on other websites

Algebra ->  Radicals -> SOLUTION: Okay I have tried everything. I get so close every time, but I just cannot finish the problem so here it is. Square root 1/2 - Square root 1/8 From looking on other websites       Log On


   

Question 840767: Okay I have tried everything. I get so close every time, but I just cannot finish the problem so here it is.
Square root 1/2 - Square root 1/8
From looking on other websites I know the answer is
Square root 2 over 4
I just can't figure out how to get the answer.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%281%2F2%29%22%22-%22%22sqrt%281%2F8%29

sqrt%281%29%2Fsqrt%282%29%22%22-%22%22sqrt%281%29%2Fsqrt%288%29%29

1%2Fsqrt%282%29%22%22-%22%221%2Fsqrt%288%29%29

1%2Fsqrt%282%29%22%22-%22%221%2Fsqrt%284%2A2%29%29

1%2Fsqrt%282%29%22%22-%22%221%2F%28sqrt%284%29%2Asqrt%282%29%29

1%2Fsqrt%282%29%22%22-%22%221%2F%282%2Asqrt%282%29%29

Multiply each fraction by sqrt%282%29%2Fsqrt%282%29 which equals 1:

1%2Fsqrt%282%29%22%22%2A%22%22sqrt%282%29%2Fsqrt%282%29%22%22-%22%221%2F%282%2Asqrt%282%29%29%22%22%2A%22%22sqrt%282%29%2Fsqrt%282%29

%281%2Asqrt%282%29%29%2F%28sqrt%282%29%2Asqrt%282%29%29%22%22-%22%22%281%2Asqrt%282%29%29%2F%282%2Asqrt%282%29%2Asqrt%282%29%29

sqrt%282%29%2F2%22%22-%22%22sqrt%282%29%2F%282%2A2%29

sqrt%282%29%2F2%22%22-%22%22sqrt%282%29%2F4

Get lowest common denominator of 4

2%2Asqrt%282%29%2F%282%2A2%29%22%22-%22%22sqrt%282%29%2F4

2%2Asqrt%282%29%2F4%22%22-%22%22sqrt%282%29%2F4

2%2Asqrt%282%29-sqrt%282%29%29%2F4

sqrt%282%29%2F4

Edwin