Can you or can you not simplify sqrt(27) + sqrt(75)
Yes, sqrt(27) + sqrt(75) can be simplified.
First, let's simplify sqrt(27). Since 27 can be written as 9 * 3, we have:
sqrt(27) = sqrt(9 * 3) = sqrt(9) * sqrt(3) = 3 * sqrt(3) = 3sqrt(3)
Next, let's simplify sqrt(75). Since 75 can be written as 25 * 3, we have:
sqrt(75) = sqrt(25 * 3) = sqrt(25) * sqrt(3) = 5 * sqrt(3) = 5sqrt(3)
So, sqrt(27) + sqrt(75) can be simplified as 3sqrt(3) + 5sqrt(3).
Combining like terms, we have:
3sqrt(3) + 5sqrt(3) = (3 + 5)sqrt(3) = 8sqrt(3)
Therefore, sqrt(27) + sqrt(75) simplifies to 8sqrt(3).