Question

Simplify 2 square root of 2 Times Square root of 12 (EXPLAIN PLS)

Answer 1

`2√(2)\cdot √(12) ~~ \begin{cases} 12=2\cdot 2\cdot 3\\ \qquad 2^2\cdot 3 \end{cases}\implies 2√(2)\cdot √(2^2\cdot 3)\implies 2√(2)\cdot 2√(3) \\\\\\ (2\cdot 2)√(2\cdot 3)\implies 4√(6)`