You can use the fact that is irrational to answer the questions below. You can also use other facts proven within this exercise. (a) Prove that is irrational. (b) Prove that is irrational. (c) Is it true that the sum of two positive irrational numbers is also irrational

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.