Question

A)18( radical3-2 radical 2)+15(2radical3-3radical2)-7(3radical3- radical2)

Answer 1

$\displaystyle 18 \left( \sqrt{3} -2 \sqrt{2} \right)+15 \left(2 \sqrt{3} -3 \sqrt{2} \right)-7 \left(3 \sqrt{3} - \sqrt{2} \right)= \\ \\ =18 \sqrt{3} -36 \sqrt{2} +30 \sqrt{3} -45 \sqrt{2} -21 \sqrt{3} +7 \sqrt{2} =-74 \sqrt{2} +27 \sqrt{3}$