Question

simplify
2√3 upon √6+2​

Answer 1

Answer:

3√2-2√3

Step-by-step explanation:

2√3/√6+2*√6-2/√6-2

=2√18-4√3/6-4

=2√18-4√3/2

=√18-2√3

=3√2-2√3

Answer 2

Step-by-step explanation:

$\frac{2 \sqrt{3} }{ \sqrt{6} + 2} \times \frac{ \sqrt{6} - 2 }{ \sqrt{6} - 2} \\ = \frac{2 \sqrt{3}( \sqrt{6} - 2)}{ \sqrt{ {6}^{2} } - {2}^{2} } \\ = \frac{ 2 \sqrt{3} (\sqrt{6} - {2} )}{6- 4} \\ = \frac{ 2 \sqrt{3} ( \sqrt{6} - 2) }{2} \\ = \sqrt{18} - 2 \sqrt{3} \\ = 3 \sqrt{2} - 2 \sqrt{3}$