Are the Results of These Irrational Number Operations Also Irrational?

[spidey]

wat are the answers for these in terms of rational,irrational

(irrational number)*(any +ve integer) = ?
(any +ve integer) - (irrational number)*(any integer) = ?

are the answers also irrational numbers

 

[Werg22]

But of course! Think about it. In both cases, pretend that they give rational numbers. Then isolate the irrational number. See the contradiction?

 

[mathman]

What is "any +ve integer"?

 

[Integral]

What is "any +ve integer"?

positive integer

 

[John Creighto]

wat are the answers for these in terms of rational,irrational

(irrational number)*(any +ve integer) = ?
(any +ve integer) - (irrational number)*(any integer) = ?

are the answers also irrational numbers

Why not prove it.

In your first example start with

x*n=p/q

Dividing both sides by n gives:
X=p/(q*n) which implies x is rational which is a contradiction.

 

[spidey]

Thanks John...so answer for first one is irrational so second should also be irrational...

 

[John Creighto]

Thanks John...so answer for first one is irrational so second should also be irrational...

Apply the same method and work it out.