Question

Simplify (3+√3)(2+√2)²​

Answer 1

Step-by-step explanation:

$(3 + \sqrt{3)} ( {2}^{2} + \sqrt{ {2}^{2} } + 2 \times 2 \times \sqrt{2)} \\ (3 + \sqrt{3)} (4 + 2 + 4 \sqrt{2} ) \\ (12 + 6 + 12 \sqrt{2} + 4 \sqrt{3} + 2 \sqrt{3} + 4 \sqrt{6} ) \\ 18 + 12 \sqrt{2 } + 6 \sqrt{3} + 4 \sqrt{6}$