A+ Answers

College Algebra Radicals

Use this template to insert your answers for the assignment.  Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed).  Remember that your work should be clear and legible.  

Problems need to include all required steps and answer(s) for full credit.  All answers need to be reduced to lowest terms where possible. 

Simplify each radical expression.

1. 

2. 

3. 

4.     

5.   *

6.   * )

7. 

8.  ( ) ²

Solve the radical equations.

9.   

10.    

11.   

12.   

Rationalize the denominator in each radical expression.

13. 

14. 

15. 

1.  If the area of a circle is 54 in², find the radius of the circle.

2.  The equation  represents the time in seconds it takes for a ball to fall from a given height.  If a ball falls from 100 feet, how long will it take to hit the ground?

3.  Find the perimeter and area of the rectangle.

4.  Find the area of the triangle.

5.  Using the Pythagorean Theorem (), find the value of the hypotenuse.

6.  A 12-foot ladder is leaned diagonally against a wall.  If the base of the ladder is 4 feet from the wall, how high is the wall from the base to the top of the ladder?