Question 973976
<pre>
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?

{{{(4 - sqrt(8))/(2 + sqrt(8))}}}
{{{(4 - sqrt(8))/(2 + sqrt(8))}}} * {{{(2 - sqrt(8))/(2 - sqrt(8))}}} ---- Multiplying NUMERATOR and DENOMINATOR by {{{2 - sqrt(8)}}}, the DENOMINATOR'S conjugate
{{{(4 - sqrt(8))(2 - sqrt(8))/(2 + sqrt(8))/(2 - sqrt(8))}}}
{{{(8 - 4sqrt(8) - 2sqrt(8) + (sqrt(8))^2)/(4 - (sqrt(8))^2)}}} 
        {{{(8 - 6sqrt(8) + 8)/(4 - 8)}}}
        {{{(16 - 12sqrt(2))/(- 4)}}} ---- Converting {{{6sqrt(8)}}} to {{{12sqrt(2)}}}
    {{{(- 4(- 4 + 3sqrt(2)))/(- 4)}}} 
    {{{(cross(- 4)(- 4 + 3sqrt(2)))/(cross(- 4))}}} = {{{highlight(- 4 + 3sqrt(2))}}}</font></font></font></b></pre>