Use the process outlined in the lesson to approximate the number 2√5. use the approximation √5 ≈ 2.236 067 98.
find a sequence of five intervals that contain 2√5 whose endpoints get successively closer to 2√5. write your
intervals in the form < 2^√5 < 2^s for rational numbers and s.

Question and answers are in the attached picture. you so much in advance.

If $740 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 7 years? use the continuous compound interest formula a = pert.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?