Simplify an expression by rationalizing the denominator

The video tutorial explains the process of simplifying expressions involving square roots by using conjugates. It covers the application of the distributive property and the difference of squares to simplify expressions. The tutorial also addresses common mistakes students make when simplifying and demonstrates the correct method to factor and achieve the final simplified form.

How do you simplify the expression 3 sqrt(10) + 6 divided by 6?

What common term can be factored out in the expression discussed, and what is the final simplified version?