Question

please explain how simplify this question
{EXPLAIN}​

Answer 1

Answer:

-3 -2√3 + √6 + 3√2

Step-by-step explanation:

$\frac{ - \sqrt{3} }{ \sqrt{3} + \sqrt{2} } - \frac{3 \sqrt{2} }{ \sqrt{6 } + \sqrt{3} } + \frac{4 \sqrt{3} }{ \sqrt{6} + \sqrt{2} } \\ =rationalize \: the \: denominators \\ = - \sqrt{3} ( \sqrt{3} - \sqrt{2} ) - \sqrt{2} ( \sqrt{6} - \sqrt{3}) + \sqrt{3} ( \sqrt{6} - \sqrt{2} ) \\ = 3 + \sqrt{6} - \sqrt{12} + \sqrt{6} + \sqrt{18} - \sqrt{6} \\ = - 3 - 2 \sqrt{3} + \sqrt{6} + 3 \sqrt{2}$

Here we can write √12 as (2√3) & √18 as (3√2)

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