Error Analysis:

Question

Find the error in the problem simplified below:

3√5(6√2 + 4√5)
18√10 + 12√25
18√10 + 12√5





Responses

There was no error made.
There was no error made.

Only like radicals can be multiplied to each other.
Only like radicals can be multiplied to each other.

The final answer needs to be simplified by adding the terms together.
The final answer needs to be simplified by adding the terms together.

The problem was not simplified correctly.
The problem was not simplified correctly.

The problem wasn't multiplied correctly.

Answer 1

The error in the problem is that the multiplication was done incorrectly.

The correct multiplication should be:
3√5(6√2 + 4√5)
= 18√10 + 12√25

Therefore, the final answer should be 18√10 + 12√25, not 18√10 + 12√5.