Please help simplify the below radical Show each step requir

Please help simplify the below radical. Show each step required to get the answer so I can review the process. Thanks so much!

Solution

2(48)^1/4 - 3(405)^1/4 -3(48)^1/4 - (162)^1/4

combining 2(48)^1/4  -3(48)^1/4 = -(48)^1/4

405 = 81*5 = 3^4*5^1 . So, 3(405)^1/4 = (3^4*5^1 )^1/4 = 9(5)^1/4

(162)^1/4 = (81*2)^1/4 = 3(2)^1/4

-(48)^1/4 -9(5)^1/4 - 3(2)^1/4

-(2^4*3^1)^1/4 -9(5)^1/4 - 3(2)^1/4

-2(3)^1/4 -9(5)^1/4 - 3(2)^1/4

So, 2(48)^1/4 - 3(405)^1/4 -3(48)^1/4 - (162)^1/4 = -2(3)^1/4 -9(5)^1/4 - 3(2)^1/4