Question

2+4√8-(-30)+2√8+4√18

Answer 1

$2+4 \sqrt{8}-(-30)+2 \sqrt{8}+4 \sqrt{18} = \\ \\ 2+4 \sqrt{(2^2)(2)} +30+2 \sqrt{(2^2)(2)} +4 \sqrt{(3^2)(2)} = \\ \\ 2+8 \sqrt{2} +30+4 \sqrt{2} +12 \sqrt{2} = \\ \\ (2+30)+(8+4+12) \sqrt{2} = \\ \\ 32+24 \sqrt{2} = \\ \\ 8(4+3 \sqrt{2} )$