Add, subtract, multiply, and divide numerical radical terms

The  exercise appears under the Pre-algebra Math Mission. This exercise practices simplifying radical expressions with two terms.

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


 * 1) Simplify the expression by removing all factors that are perfect squares from inside the radicals, and combine the terms.: This problem has an expression and asks for the square root of a given number. The student is expected to find the square root and write it in the space provided.Add, subtract, multiply, and divide numerical radical terms.PNG

Strategies
Knowledge of simplifying radical expressions is essential for success while doing this exercise. Practice will increase speed if needed.
 * 1) Students should that they can take the ratio of radical expressions which have the same root: $$\sqrt{\frac{x}{y}}=\frac{\sqrt{x}}{\sqrt{y}}$$
 * 2) They can apply this property above to the original radical expression.

Real-life applications

 * 1) Radicals have many uses in the physics as they are the way to undo squares in famous formulas like $$E=mc^2$$.
 * 2) Applications to trigonometry are also evident since the right triangle trigonometry is based on the Pythagorean Theorem.
 * 3) In geometry, the square root is necessary to find the distance between points or the magnitude of a vector.