Final answer:
To evaluate the expression √80 + √45 + 2√20, we need to simplify each square root separately and then add them together. The result is 11√5.
Step-by-step explanation:
To evaluate the expression √80 + √45 + 2√20, we need to simplify each square root separately and then add them together.
√80 can be simplified as √(16 * 5) = √16 * √5 = 4√5
√45 can be simplified as √(9 * 5) = √9 * √5 = 3√5
2√20 can be simplified as 2 * √(4 * 5) = 2 * √4 * √5 = 2 * 2 * √5 = 4√5
Now we can add them together: 4√5 + 3√5 + 4√5 = 11√5