Assume a and b are nonzero rational numbers and c is an irrational number. for each of the following expressions, determine whether the result is irrational, rational, or both. justify your answers. part a: a(b + c) (1 point) part b: (1 point) part c: ab + ab2 (2 points)

A.Irrational number

C.Rational number

Step-by-step explanation:

We are given that a and b are non zero rational number and c is an irrational number .

A.We have to find a(b+c) is rational, irrational or both.

a=Rational number

b=Rational number

c=Irrational number

We know that sum of a rational number and an irrational number=Irrational number.

Therefore, b+c=Irrational number

When an irrational number multiplied by a rational number then it is an irrational number.

Suppose , a=1 and b=5

c=

Hence, a(b+c) is an irrational number.

C.We

=Rational number

ab=Rational number.Rational number

Product of  two rational number is also rational number .

Sum of two rational numbers is also rational number.

Hence, is a rational number.