Question 55847
14SQRT 32 WITH CUBE4 ON THE TOP SUBTRACTED BY 15 SQRT 162 WITH CUBE4 ON THE TOP
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I have no idea what you mean by "Cube4" so ignoring that perhaps this will help on the radicals:
 
{{{14*Sqrt(32)}}} -  {{{15*Sqrt(162)}}}
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Find the factors that are perfect squares inside the radical, you can write it:
{{{14*Sqrt(16*2)}}} -  {{{15*Sqrt(81*2)}}}
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Extract the squares from those:
 {{{14*4Sqrt(2)}}} -  {{{15*9Sqrt(2)}}}
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Both expression have Sqrt(2) so just do the math:
 {{{56*Sqrt(2)}}} -  {{{135*Sqrt(2)}}} = {{{-79*Sqrt(2)}}}
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:
This does not seem to make much sense, look at the way other students submit these problems and resubmit it; perhaps we can understand exactly what you want.