# sum, product of rational and irrational number

Not what you're looking for?

Prove or disprove each of the following:

a. The sum of a rational number and an irrational number is an irrational number.

b. The product of two rational numbers is a rational number.

c. The product of two irrational numbers is an irrational number.

d. The product of a rational number and an irrational number is an irrational number.

Please submit response as either a PDF or MS Word file.

See the attachment.

##### Purchase this Solution

##### Solution Summary

To conclude what happens after certain operation (summation, multiplication) between rational and irrational numbers, it is important to remember that 0 is one of the rational numbers that can either disprove or prove some proposition.

##### Solution Preview

Prove or disprove each of the following:

a. The sum of a rational number and an irrational number is an irrational number.

b. The product of two rational numbers is a rational number.

c. The product of two irrational numbers is an irrational number.

d. The product of a rational number and an irrational number is an irrational number.

a. Here ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.