Which radical expression represents the difference between the expressions 4 50 + 4 12 - 2 27 and 2 3? A) 20 2 B) 20 2 - 2 3 C) 20 2 + 2 3 D) 20 2 + 8 3

A 20 sqrt (2)

Step-by-step explanation:

4 sqrt (50) + 4 sqrt (12) - 2 sqrt (27) minus 2 sqrt (3)

We know that sqrt (a) sqrt (b) = sqrt (ab)

this is the first expression

4 sqrt (25) sqrt (2) + 4 sqrt (4) sqrt (3) - 2 sqrt (9) sqrt (3)

4*5sqrt (2) + 4*2 sqrt (3) - 2*3 sqrt (3)

20 sqrt (2) + 8 sqrt (3) - 6sqrt (3)

20 sqrt (2) + 2 sqrt (3)

Now we subtract 2 sqrt (3) from the above expression

20 sqrt (2) + 2 sqrt (3) - 2 sqrt (3)

20 sqrt (2)