answersLogoWhite

0


Best Answer

1) Adding an irrational number and a rational number will always give you an irrational number.

2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.

User Avatar

Wiki User

7y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

9y ago

The set of rational numbers is closed under the basic operations of arithmetic.

Suppose 3 + 2x5 is rational.

Subtract 3, which is a rational number: then 2x5 is rational

Divide by 2, a rational number: then x5 is rational.


But you are given that x5 is irrational therefore the supposition was wrong. That is, 3 + 2x5 is not rational.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?
Write your answer...
Submit
Still have questions?
magnify glass
imp