Final answer:
To simplify the radical expression 2√6 + 3√96, rewrite √96 as 4√6 and combine like terms to get 14√6.
Step-by-step explanation:
To simplify the radical expression 2√6 + 3√96, we need to find the simplified form.
First, let's simplify the radicands. √6 cannot be simplified further, but √96 can be written as 4√6.
Now, we can rewrite the expression as 2√6 + 3(4√6), which simplifies to 2√6 + 12√6.
Combining like terms, we get (2 + 12)√6 = 14√6.
Therefore, the simplified form of the expression is 14√6.