Simplify numerical radical expressions with multiple terms

The  exercise appears under the Algebra II Math Mission. This exercise simplifies practices simplifying expressions with multiple radical terms combined by addition, subtraction, multiplication, and/or division.

Types of Problems
There is one type of problem in this exercise:


 * 1) Perform the indicated operations to solve: This problem provides radical expressions with multiple terms. The student is asked to simplify the expression and type the answer in the space below. If the expression is already simplified, students should type it as it is. Simplify numerical radical expressions with multiple terms.PNG

Strategies
Knowledge of simplifying radical expressions is sufficient for being able to complete this exercise. $$(a+b)(a-b)$$ $$=a(a-b)+b(a-b)$$ $$=a^2-ab+ba-b^2$$ $$=a^2-b^2$$
 * 1) The pattern below is often called the difference of squares, and can be verified by applying the distributive property twice:

Real-life Applications

 * 1) Simplification of algebraic expressions increases algebraic proficiency which is vital in any mathematics courses from calculus and beyond, including any applied courses.