Answer:
see below
Step-by-step explanation:
sqrt(2) * sqrt(2) = sqrt(4) = 2
sqrt(5) * sqrt(7) = sqrt(35)
sqrt(2) * sqrt(18) = sqrt(36) = 6
sqrt(2)*sqrt (6) = sqrt(12) = sqrt(4 *3) = sqrt(4) sqrt(3) = 2 sqrt(3)
4/3 * 12/3 = 48/9 This is rational because it is written as a fraction with no square roots
32/4 * 15/4 = 480/16 =30 This can be rewritten as 30/1. This is rational because it is written as a fraction with no square roots
sqrt(3)/2 * 22/7 = 11 sqrt(3)/7 This is not rational because there is a square root in the numerator
sqrt(11) *2/3 = 2sqrt(11)/3 This is not rational because there is a square root in the numerator
