- #1
srfriggen
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Homework Statement
"Prove that when an irrational number is divided by a nonzero rational number, the resulting number is irrational"
The Attempt at a Solution
By contradiction: Prove that when an irrational number is divided by a nonzero rational number, the resulting number is rational.
a is an irrational number
b is a rational number
c is a rational number
b=d/e, c=f/g, where d,e,f,g are in Z.
b divides a: equivalent to a=bx, where x is in Z.
a=bx=dx/e, so ae=dx
can't seem to get any further than this... also, more importantly, having a hard time figuring out just what result I want from all of this.