回答:
#sqrt75 + 2sqrt12-sqrt27 = 6sqrt3#
説明:
#sqrt75 + 2sqrt12-sqrt27#
= #sqrt(3×5×5)+ 2sqrt(2×2×3)-sqrt(3×3×3)#
= #sqrt(3×ul(5×5))+ 2sqrt(ul(2×2)×3)-sqrt(3×ul(3×3))#
= #5sqrt3 + 2×2sqrt3-3sqrt3#
= #5sqrt3 + 4sqrt3-3sqrt3#
= #(5 + 4-3)sqrt3#
= #6sqrt3#