Question

Divide and then simplify the answer

Answer 1

B)
`(√(3) + √(6) )/(8)`

Explanation:

The given expression is
`((3 + √(18) )/(4√(12) )`

We should not have the radical sign in the denominator. To get rid of the radical number, we multiply both the numerator and the denominator by 4√12.

=
`((3 + √(18) )/(4√(12) ) * (4√(12) )/(4√(12) )`

=
`(12√(12) + 4√(18) √(12)  )/(16*12)`

=
`(24√(3) + 24√(6)   )/(192)`

=
`(24(√(3)+√(6) ) )/(192) \\`

Now we can cancel out 24/192, which is 1/8

=
`(√(3)+√(6)  )/(8)`

Answer is B.

Thank you.