Question 252005
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Can you please help me with this equation: 2- sqrt 7 / sqrt 3 - sqrt 2

the answer I have is (2- sqrt 7)(sqrt 3 + sqrt 2 / 5 but i don't think it is right. 
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There's NOTHING to solve here. This is a SIMPLIFICATION problem!!
If {{{(2 - sqrt(7))/(sqrt(3) - sqrt(2))}}}, then:
{{{((2 - sqrt(7))/( sqrt(3) - sqrt(2))) * ((sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2)))}}} ---- RATIONALZING the DENOMINATOR by multiplying it by its congugate, {{{sqrt(3) + sqrt(2)}}} 
{{{((2 - sqrt(7))(sqrt(3) + sqrt(2)))/((sqrt(3))^2 - (sqrt(2))^2)}}}
{{{((2 - sqrt(7))(sqrt(3) + sqrt(2)))/(3 - 2)}}}
{{{highlight((2 - sqrt(7))(sqrt(3) + sqrt(2))))}}} <=== You can FOIL this, if you wish!

So, your answer: (2- sqrt 7)(sqrt 3 + sqrt 2 / 5, or {{{ ((2 - sqrt(7))(sqrt(3) + sqrt(2)))/5}}} is PARTIIALLY CORRECT. Seems like 
you ADDED 3 and 2 (5) in the DENOMINATOR, instead of SUBTRACTIING 2 from 3 (1)!! Good job, anyway!!</pre>