Success Starter Armoni recently finished building a rectangular soccer field at the new REC center. The side lengths are 3 +3 meters and 5 3 −1 meters. What is the area and perimeter of this soccer field?

Reminders Simplifying radicals quiz retake this Tuesday at 4:15 and Wednesday morning at 8:15! Pick up in the cafeteria. Grades are up! (Blanks in the gradebook) Parent phone calls

Classifying Rational and Irrational Numbers https://www.youtube.com/watch?v=QtemVfzSGBA

Examples 87 .43 3 12 .817… 8 −3 3+ 8 Repeating decimal

Success Starter Is the sum of 12 and 1 3 rational or irrational? Explain why. Is 9× 144 rational or irrational? Justify your answer. Is 14∙ 22 rational or irrational? Why?

Quiz Review Practice Determine if the following radical expressions are rational or irrational. 45 3 5 3 9

Proof that the sum or product of two rational numbers is rational https://www.khanacademy.org/math/algebra/rational-and-irrational- numbers/sums-and-products-of-rational-and-irrational-numbers/v/sum-and- product-of-rational-numbers

Proof of the sum of a rational number and irrational number is irrational https://www.khanacademy.org/math/algebra/rational-and-irrational- numbers/sums-and-products-of-rational-and-irrational-numbers/v/proof-that- sum-of-rational-and-irrational-is-irrational

Proof of the product of a nonzero rational number and irrational number is irrational https://www.khanacademy.org/math/algebra/rational-and-irrational- numbers/sums-and-products-of-rational-and-irrational-numbers/v/proof-that- rational-times-irrational-is-irrational

Quiz Review Example Justify your response to the given statement. Include example(s) in your justification. The product of two radical expressions is always an irrational number.