The Product Property of Square Roots states that for any positive numbers a and b. βa βb = βaΒ·b. The following example dem
property to answer questions 1-4 below.
Since βββ9=2.3 and β4.9 = β36.
= 6.
=6
Then β4 β9-β4.9.
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
β3