SOLUTION: Give an example that shows that each of the following can occur. a. The sum of two irrational numbers may be an irrational number. b. The sum of two irrational numbers may be a r

Algebra ->  Real-numbers -> SOLUTION: Give an example that shows that each of the following can occur. a. The sum of two irrational numbers may be an irrational number. b. The sum of two irrational numbers may be a r      Log On


   

Question 995218: Give an example that shows that each of the following can occur.
a. The sum of two irrational numbers may be an irrational number.
b. The sum of two irrational numbers may be a rational number.
c. The product of two irrational numbers may be an irrational number.
d. The product of two irrational numbers may be a rational number.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Give an example that shows that each of the following can occur.
a. The sum of two irrational numbers may be an irrational number.
sqrt%282%29+%2B+sqrt%283%29
b. The sum of two irrational numbers may be a rational number.
sqrt%282%29+%2B+%282+-+sqrt%282%29%29+=+2
c. The product of two irrational numbers may be an irrational number.
sqrt%282%29%2Asqrt%283%29+=+sqrt%286%29
d. The product of two irrational numbers may be a rational number.
sqrt%287%29%2Asqrt%287%29+=+7