Given expression: [tex]2\sqrt{3} *(\sqrt{2}+ \sqrt{3})[/tex].
We need to distribute and simplify.
We have 2√3 in front of paranthesis.
We need to distribute 2√3 over paranthesis.
2√3*(√2+√3) would give : 2√3 * √2 + 2√3 * √3.
We need to multiply radical numbers inside radicals and outside number by outside number.
On simplifying, we get
2√6 + 2 * 3 = 2√6 + 6.
Therefore, final answer is 6+2√6.
