Question

I make you a Brainlist plz give answer my question.
simplify=—3 upon root3 +root2 — 3 root2 upon root6 +root 3 + 4 root3 upon root6 +root2 ​

Answer 1

Answer:

Simplifying 1st part

$\frac{3 \sqrt{2} }{ \sqrt{3} + \sqrt{6} } \times \frac{ \sqrt{3} - \sqrt{6} }{ \sqrt{3} - \sqrt{6} }$

$\frac{3 \sqrt{2 } \times ( \sqrt{3} - \sqrt{6} }{ {( \sqrt{3)} }^{2} - {( \sqrt{6)} }^{2} } = \frac{3 \sqrt{2} \times ( \sqrt{3} - \sqrt{6}) }{3 - 6}$

Simplifying 2nd part

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

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

Simplifying 3rd part

$\frac{ \sqrt{6} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} }$

$\frac{ \sqrt{6} \times ( \sqrt{2} - \sqrt{3} ) }{ {( \sqrt{2} }^{2}) - {( \sqrt{3)} }^{2} } = \frac{( \sqrt{12} - \sqrt{18} )}{2 - 3}$

Putting all values we get;

(-√6 + √12) – (√18 - √6) + (-√12 + √18)

-√6 + √12 – √18 + √6 – √12 + √18

= 0