Simplify each radical expression.

a. 45 -24

b. 6y^3 + 2y y

c. 50 - 8 + 18

d. 12m ^2 - m 4

2. Simplify the following radicals and collect like terms.

a. 3 45 - 2 20

b. 450 - 288 + 32

c. 96y ^3 + 2y 384y - 150y ^3

d. 180m ^4 - m^2 125 + 2m 147m - 75m ^3

3. Tayne has four square plastic recycling boxes that she wants to put on a shelf in her garage

paper , metal , plastic , glass.

If the top opening of each box is 432 in^2 , how long does the shelf need to be? Leave your answer in radical form (not decimal).