Question

Which expression is equivalent to 4 square root 6 divided by 3 root 2

Answer 1

`(4√(3) )/(3)`

Explanation:

Find a common factor between the numerator and the denominator, so that they may cancel out one another.

`(4√(6) )/(3√(2) ) \\\\=(4√(3*2) )/(3√(2) ) \\\\=(4√(3)√(2)  )/(3√(2) )`

Then by cancelling out the square root of 2:

`(4√(3) )/(3)`