ok I have some problems that I need help with:
if a^2 is even, then prove that a is even too
if a^2 is uneven, then prove that a is uneven too
And another problem:
prove that:
rational + irrational number = irrational number
PLS HELP ME!!!
ok I have some problems that I need help with:
if a^2 is even, then prove that a is even too
if a^2 is uneven, then prove that a is uneven too
And another problem:
prove that:
rational + irrational number = irrational number
PLS HELP ME!!!
use the contrapostive
it suffices to show if is not even, then is not even.
so assume is not even, so that for some integer n, then .....
same approach as aboveif a^2 is uneven, then prove that a is uneven too
by the way, "odd" means "uneven" and it sounds nicer.
Let be a rational number and be an irrational number. what can you say about their sum?And another problem:
prove that:
rational + irrational number = irrational number
PLS HELP ME!!!
Proof:
Let x be an even interger. Then by definition of an even number we can write:
x=2m
where m is an interger.
Therefore x^2= (2m)^2
=4m^2
=2(m^2)
Let P =2m^2. Since the product of integers is an interger, p is an itnerger. Thus x^2 =2p and x^2 is an even integer.
And another problem:
prove that:
rational + irrational number = irrational number
PLS HELP ME!!!I think it would be funny to assume that , where is a rationnal. (a,b,d,e are non-zero integers)Let be a rational number and c be an irrational number. what can you say about their sum?
Now, is it logical to say : ?