Product Rule: Quotient Rule
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Sec 1.2 –Revisiting Quadratics (Review) Simplifying Radicals Name:
PRODUCT RULE: QUOTIENT RULE:
Example: Example:
More directly, when determining a product or quotient of radicals and the indices (the small number in front of the radical) are the same then you can rewrite 2 radicals as 1 or 1 radical as 2.
Simplify by rewriting the following using only one radical sign (i.e. rewriting 2 radicals as 1).
1. 2.
Simplify by rewriting the following using multiple radical sign (i.e. rewriting 1 radical as 2).
3. 4.
Express each radical in simplified form.
5. 6. 7.
Express each radical in simplified form.
8. 9. 10. 11. 12.
Simplify. Assume that all variable represent positive real numbers. 13. 14. 15.
16. 17. 18.
Simplify. Assume that all variable represent positive real numbers. 19. 20. 21. 22.
23. Consider the following rectangles.
a. Determine the Perimeter of the Rectangle. a. Determine the Perimeter of the Rectangle.
b. Determine the Area of the Rectangle. b. Determine the Area of the Rectangle. Simplify. Assume that all variable represent positive real numbers and rationalize all denominators.
24. 25. 26.
27. 28. 29.
30. 31. 32.