How do I simplify the expression √5(10 – 4√2)?

To simplify the expression √5(10 - 4√2), we can follow these steps:

1. Distribute the square root: Start by distributing √5 across the terms inside the parentheses:
2. √5 * 10 gives us 10√5.
3. √5 * (-4√2) can be simplified as follows: Multiply -4 by √5 * √2, which equals -4√(5 * 2) or -4√10.

Now, putting these two results together, we get:

10√5 - 4√10

This is the simplified form of the original expression. Therefore:

The final simplified expression is: 10√5 - 4√10