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.
{{{sqrt(2) + sqrt(3)}}}
b. The sum of two irrational numbers may be a rational number.
{{{sqrt(2) + (2 - sqrt(2)) = 2}}}
c. The product of two irrational numbers may be an irrational number.
{{{sqrt(2)*sqrt(3) = sqrt(6)}}}
d. The product of two irrational numbers may be a rational number.
{{{sqrt(7)*sqrt(7) = 7}}}