What is the following quotient? 3 sqrt 8 / 4 sqrt 6

A. 12 sqrt 2-6 sqrt 3 / 5

B. 3 sqrt 6 - 4 sqrt 3 / 24

C. sqrt 3/12

D. sqrt 3/2

For this case we have the following expression:

3sqrt (8) / 4sqrt (6)

Rewriting we have:

3sqrt (2 * 4) / 4sqrt (6)

3 * 2sqrt (2) / 4sqrt (6)

6sqrt (2) / 4sqrt (6)

3sqrt (2) / 2sqrt (6)

3sqrt (2) / (2sqrt (2) sqrt (3))

3 / (2sqrt (3))

3sqrt (3) / (3 * 2)

sqrt (3) / (2)

Answer:

the following quotient is:

D. sqrt 3/2