Question

Simplify the expression completely.
3√6(2√3+√6)
PLEASE HELP ME

Answer 1

`18 √(2) + 18`

Explanation:

`3 √(6) (2 √(3) + √(6) ) \\ =( 3 √(6) * 2 √(3) ) + (3 √(6) * √(6) ) \\ = 6 √(18) + 18 \\`

To further simplify:

`6 √(18) = 6 * √(9 * 2) \\ = 6 * 3 * √(2 \\ ) \\ = 18 √(2)`

Thus, the answer is:

`18 √(2) + 18`