Question

simplify : (3+√3) (2+√2)^2​

Answer 1

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

Answer 2

Answer:

$(3 + \sqrt{3} )(2 + \sqrt{2} ) {}^{2}$

$(3 + \sqrt{3} )(2) {}^{2} + 2(2)( \sqrt{2} ) + ( \sqrt{2} ) {}^{2}$

$(3 + \sqrt{3} )(4 + 4 \sqrt{2} + 2)$

$(3 + \sqrt{3} )(6 + 4 \sqrt{2} )$

$18 + 12 \sqrt{2} + 6 \sqrt{3} + 4 \sqrt{6}$

i hope it's help you