SOLUTION: what is (4- square root of 8) divided by (2+ square root of 8) simplified

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Question 973976: what is (4- square root of 8) divided by (2+ square root of 8) simplified
Found 2 solutions by JulietG, MathTherapy:
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
I put this into the calculator at Mathway.com, and it comes out as:
−4+3√2 (that's "three square root two")
or, in decimal form: 0.24264068...

Answer by MathTherapy(10801) About Me  (Show Source):
You can put this solution on YOUR website!
what is (4- square root of 8) divided by (2+ square root of 8) simplified
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According to the other person, "I put this into the calculator at Mathway.com, and it comes out as:
−4+3√2 (that's "three square root two")." 

Is this really "HELP?" Punching numbers on a calculator? Or, is this OUTRIGHT LAZINESS?

%284+-+sqrt%288%29%29%2F%282+%2B+sqrt%288%29%29
%284+-+sqrt%288%29%29%2F%282+%2B+sqrt%288%29%29 * %282+-+sqrt%288%29%29%2F%282+-+sqrt%288%29%29 ---- Multiplying NUMERATOR and DENOMINATOR by 2+-+sqrt%288%29, the DENOMINATOR'S conjugate
%284+-+sqrt%288%29%29%282+-+sqrt%288%29%29%2F%282+%2B+sqrt%288%29%29%2F%282+-+sqrt%288%29%29
 
        %288+-+6sqrt%288%29+%2B+8%29%2F%284+-+8%29
        %2816+-+12sqrt%282%29%29%2F%28-+4%29 ---- Converting 6sqrt%288%29 to 12sqrt%282%29
    %28-+4%28-+4+%2B+3sqrt%282%29%29%29%2F%28-+4%29 
    %28cross%28-+4%29%28-+4+%2B+3sqrt%282%29%29%29%2F%28cross%28-+4%29%29 = highlight%28-+4+%2B+3sqrt%282%29%29