SOLUTION: This section is dealing with contradictions. Show that the product of a non-zero rational number and an irrational number is an irrational number.

Question 32466: This section is dealing with contradictions.
Show that the product of a non-zero rational number and an irrational number is an irrational number.
Answer by ikdeep(226) (Show Source): You can put this solution on YOUR website!
Let a non-zero rational number = 1/2
let an irrational number = squareroot of 3
so their product would be = (1/2) * squareroot of 3
= (squareroot of 3)/2
and its also an irrational number..
Hope this will help you
Please feel free to revert back for any further queries

RELATED QUESTIONS
Show that the product of a non-zero rational number and an irrational number is an... (answered by ikdeep)

Why is the product of a non zero rational number and an irrational number irrational... (answered by MathLover1)

Explain why the product of a nonzero rational number and an irrational number is... (answered by solver91311)

Jacinta says the product of a rational number and an irrational number is always... (answered by jim_thompson5910)

5)Which number can be multiplied to a rational number to explain that the product of a... (answered by hkwu)

which of the following statements is false? a)the sum of two rational number and an... (answered by Fombitz,amalm06)

Please I am very confused with this question: What type of real number is the product... (answered by fcabanski,solver91311)

Select an irrational number and another number such that the sum, difference, product, or (answered by jim_thompson5910)

2.Explain why the sum of a rational number and an irrational number is... (answered by richard1234)