Find the sum of √12 and √75.

To find the sum of √12 and √75, we can first simplify each square root.

1. Simplify √12:

– √12 = √(4 × 3) = √4 × √3 = 2√3

2. Simplify √75:

– √75 = √(25 × 3) = √25 × √3 = 5√3

Now, we can add the two simplified expressions:

2√3 + 5√3 = (2 + 5)√3 = 7√3

So, the sum of √12 and √75 is 7√3. Great job working through this! If you have more questions or need further clarification, feel free to ask.