The Product Property of Square Roots states that for any positive numbers a and b. √a √b = √a·b. The following example dem
property to answer questions 1-4 below.
Since √√√9=2.3 and √4.9 = √36.
= 6.
=6
Then √4 √9-√4.9.
1. Are the side lengths of this rectangle rational or irrational? Explain.
The side lengths are irrational because the 5 and 3 are not perfect squares.
2. Is the area of the rectangle in Problem 1 rational or irrational?
The area is equal to. Since
(Simplify your answers. Type exact answers, using radicals as needed.)
its square root is
Y
√3

The Product Property of Square Roots states that for any positive numbers a and b a b ab The following example dem property to answer questions 14 below Since 9 class=