Question

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Answer 1

Answer:

6√2 - 5√3

Step-by-step explanation:

(a + b)(a - b) = (a² - b²)  

$\frac{-3}{\sqrt{3} +\sqrt{2} }$ - $\frac{3\sqrt{2} }{\sqrt{6} +\sqrt{3} }$ + $\frac{4\sqrt{3} }{\sqrt{6} +\sqrt{2} }$ =

= $\frac{-3(\sqrt{3} -\sqrt{2} )}{(\sqrt{3} +\sqrt{2} )(\sqrt{3} -\sqrt{2} )}$ - $\frac{3\sqrt{2} (\sqrt{6} -\sqrt{3} )}{(\sqrt{6} +\sqrt{3} )(\sqrt{6} -\sqrt{3} )}$ + $\frac{4\sqrt{3} (\sqrt{6} -\sqrt{2} )}{(\sqrt{6} +\sqrt{2} )(\sqrt{6} -\sqrt{2} )}$ =

= - 3√3 + 3√2 - $\frac{3\sqrt{2} (\sqrt{6} -\sqrt{3} )}{3}$ + $\frac{4\sqrt{3} (\sqrt{6} -\sqrt{2} )}{4}$ =

= = - 3√3 + 3√2 - 2√3 + √6 + 3√2 - √6 = 6√2 - 5√3