Question

(√735 + √27 · √180) · (√45 · √48 - √1815)

Answer 1

         
$( \sqrt{735}+ \sqrt{27}* \sqrt{180})*( \sqrt{45}* \sqrt{48} - \sqrt{1815})= \\ =(7\sqrt{15}+ 3\sqrt{3}* 6\sqrt{5})*( 3\sqrt{5}* 4\sqrt{3} - 11\sqrt{15})= \\ =(7\sqrt{15}+ 3*6*\sqrt{3*5})*( 3*4*\sqrt{5*3} - 11\sqrt{15})= \\ =(7\sqrt{15}+ 18\sqrt{15})*( 12\sqrt{15} - 11\sqrt{15})= \\ =(25\sqrt{15})*( 1\sqrt{15})= \\ =25\sqrt{15*15}= \\ =25*15= 375$