(9) Give an example of two irrational numbers such that the product is a rational number.
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
The Deep Dive
Consider the irrational numbers √2 and √8. When you multiply them together, you get: √2 * √8 = √(2 * 8) = √16 = 4, which is a rational number! This nifty little trick showcases how sometimes, mixing certain irrational numbers can cook up a rational result. Who knew math could be so delightfully puzzling? Another example is taking the irrational number π (pi) and its counterpart 0. Adding the twist of a fraction, you could look at (π) and (1/π). Their product would be: π * (1/π) = 1, which, you guessed it, is a rational number. It's like cooking up a perfect mathematical meal where everything adds up just right!