Factor common terms from 4-2 square root 6 .Factor 2 out of 4-2 square root 6 giving 2 parentheses 2- square root 6. Square root 3 multiplied by 2 square parentheses 2- square root 6.then you distribute square root 3 over 2- square root 6 which gives you square root 3 parentheses 2- square root 6 which equals 2 square root 3 - 3 square root 2. The final answer is 2 parentheses 2 square root 3 - 3 square root 3.

Exercise 2.

First Step: Let's simplify our given radicals
6√2- √12 + 5√8 6√2 stays the same because we cannot simplify it any further √12 can be simplified to √4√3 5√8 can be simplified to 5√4√2

Second Step: Let'splug in our simplified radicals
6√2- √4√3 + 5√4√2

Third Step: Let'ssolve each radical by finding the square root if possible, and if so, we can then remove the radical sign!
6√2- 2√3 + 5 x 2 √2

*note in this case we would only be able to solve for √4=2*

## Exercise 1.

Factor common terms from 4-2 square root 6 .Factor 2 out of 4-2 square root 6 giving 2 parentheses 2- square root 6. Square root 3 multiplied by 2 square parentheses 2- square root 6.then you distribute square root 3 over 2- square root 6 which gives you square root 3 parentheses 2- square root 6 which equals 2 square root 3 - 3 square root 2. The final answer is 2 parentheses 2 square root 3 - 3 square root 3.

## Exercise 2.

First Step: Let's simplify our given radicals6√2- √12 + 5√8

6√2 stays the same because we cannot simplify it any further

√12 can be simplified to √4√3

5√8 can be simplified to 5√4√2

Second Step: Let'splug in our simplified radicals6√2- √4√3 + 5√4√2

Third Step: Let'ssolve each radical by finding the square root if possible, and if so, we can then remove the radical sign!6√2- 2√3 + 5 x 2 √2

*note in this case we would only be able to solve for √4=2*Fourth Step: Let's combine like terms6√2 + 5 x 2 √2 - 2√3

6√2 + 10√2 - 2√3

16√2 - 2√3

*note keep the same sign of given number as is ex. - 2√3*

OUR FINAL ANSWER IS:16√2 - 2√3

-ibet arana

English feedback by Cyndi. FYI, the word "let's" comes from "let us," so you need the apostrophe because it's a long-forgotten contraction.## Exercise 3.

## Exercise 4.

## Exercise 5.

## Exercise 6.