Question

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

Answer 1

A 20 sqrt(2)

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)