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Get ready for tonight's homework and quiz on simplifying radical expressions! We'll cover pages 490-491 in our textbook, focusing on the Quotient Property of radicals. SWBAT simplify radicals and ensure they are in their simplest form, following key rules: no perfect square factors in the radicand, no fractions, and no square roots in denominators. We'll practice techniques to eliminate square roots from denominators and simplify various expressions. Don’t forget to complete the exit ticket with your products in simplest form for each problem.
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Welcome to Radicals!!! • Tonight’s Homework • P 490 #44- 51 • Head’s up: Radical quiz on Dividing tomorrow!
10.1: Simplifying Radical: Quotient Property • SWBAT simplify radicals using the quotient property
Review: Simplest Form of a Square Root Expression • An expression containing square roots is in simplest form when • The radicand has no perfect square factors other than 1 • The radicand has no fractions • There are no square roots in any denominator
Example 1 How do we get rid of the square root in the denominator? Multiply by a form of 1 to get a perfect-square radicand in the denominator.
Example 2 Simplify the quotient. All variables represent nonnegative numbers. Multiply by a form of 1 to get a perfect-square radicand in the denominator.
Exit Ticket Multiply. Write each product in simplest form. All variables represent nonnegative numbers. 1. 2. 3. 4. 5. 6. 7. Simplify each quotient. All variables represent nonnegative numbers. 8. 9.