Answered

Find the best solutions to your problems with the help of IDNLearn.com's experts. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

Emily states that the product of a nonzero rational number and an irrational number is sometimes rational and
sometimes irrational.
Which statement correctly describes whether Emily is correct or incorrect?
O Emily is incorrect. The product of a nonzero rational number and an irrational number is always irrational.
O Emily is incorrect. The product of a nonzero rational number and an irrational number is always rational.
0
Emily is correct. The product of a nonzero rational number and an irrational number may be rational or
irrational.

Sagot :

GinnyAnsweridn

Final answer:

The product of a nonzero rational number and an irrational number can be rational or irrational.


Explanation:

Emily is correct. The product of a nonzero rational number and an irrational number may be rational or irrational. This can be illustrated with examples:

  1. If you multiply 2 (a rational number) by √2 (an irrational number), the result is 2√2, which is irrational.
  2. However, if you multiply 2/3 (a rational number) by √9 (an irrational number), the result is 2, which is rational.

Learn more about Number Properties here:

https://brainly.com/question/38891878


Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.