okay. so basically, i have this homework. and my teacher sucks at teaching. so she gives us this sheet and doesnt tell us what to do. and now i need help.

i'm taking algebra 1 in 8th grade, btw.

so i had to find the area of this square based on how many small squares i can make for it on a unit diagram (dots that you connect), and the area of this square ends up being 8. Then the area of each small square i made ends up because 2u squared. the side of one square is the square root of 2 units, and the side of the large square is the square root of 8 = 2 square roots of 2. the next question asks me "explain using answers from problem 4, why the square root of 8 = 2 square roots of 2."( the answers that i needed are said above about the areas and side lengths and all) so how do i answer that question?

## Answers (1)

This is because the square root of 8 is equal to the square root of 4 x 2 and the square root of 4 is 2. Thus, you pull that 2 out so the answer is two root two. This is because you pull that square root of 4 out because it is equal to 2 but you still have a root two left that you can not get rid of thus it is 2 root 2.