The sum of the given expressions is:
2(√/16x³y)+4[2√/54x6y5)
0 + 4x(2/2y) + 12x²y[2√/2y²)
8x(3√x+12x³y² (3/6y)
16x³y (2√/2y²)
48x³y (2/2y)
This simplifies to:
2(√/4x³y) + 4(√/9x²y) + 4x(1/y) + 12x²y(√/y) + 8x(3√x/3y) + 16x³y(1/y) + 48x³y(1/y)
Which further simplifies to:
(4/x²y) √ + (8/3xy) √ + (4/y) x + (12/y) x²y + (8/3y) x √ + (16/y) x³y + (48/y) x³y
This is the final simplified form of the sum.