How do you simplify $3/(sqrt(3)-3)$ ?

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Answer 1 · 2015-02-15T10:15:06

Actually there is a much easier way to do this:

First i will rewrite this to ensure clarity:

$(sqrt3 * sqrt3)/(sqrt3 - sqrt3 * sqrt3)$

So now lets remove common factor

$(sqrt3 ( sqrt3))/( sqrt3(1-sqrt3))$

Now leta get rid of the $sqrt 3$ in the denominator and numerator:

$( sqrt3)/(1-sqrt3)$

Now we shall rationalize:

$( sqrt3)/(1-sqrt3) * (1 + sqrt3) /(1 + sqrt3)$

That should be

$( sqrt3 + 3)/(1-3) = ( sqrt3 + 3)/-2$

How do you simplify 3/(sqrt(3)-3)3/(sqrt(3)-3)?