SOLUTION: Select an irrational number and another number such that the sum, difference, product, or quotient of the two numbers is a rational number. I am very lost. Thanks

Algebra ->  Equations -> SOLUTION: Select an irrational number and another number such that the sum, difference, product, or quotient of the two numbers is a rational number. I am very lost. Thanks      Log On


   

Question 190593This question is from textbook
: Select an irrational number and another number such that the sum, difference, product, or quotient of the two numbers is a rational number.
I am very lost. Thanks This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's pick the irrational number sqrt%285%29 and simply multiply it by itself to get sqrt%285%29%2Asqrt%285%29=sqrt%285%2A5%29=sqrt%2825%29=5


So sqrt%285%29%2Asqrt%285%29=5


This means that multiplying two irrational numbers results in a rational number