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OpenStudy (anonymous):
Choose the counterexample that disproves the conjecture.
If a perfect square is even, then its square root is composite.
A.
4
B.
9
C.
36
D.
64
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OpenStudy (anonymous):
@adrynicoleb
OpenStudy (anonymous):
thanks for coming
OpenStudy (adrynicoleb):
Sorry, but math is not my thing. >-<
OpenStudy (anonymous):
oh poo
OpenStudy (adrynicoleb):
Lol yeah. Sorry
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jimthompson5910 (jim_thompson5910):
Take the square root of 36 to get ______
OpenStudy (anonymous):
6
jimthompson5910 (jim_thompson5910):
Is that prime or composite?
OpenStudy (anonymous):
that is a composite number still
jimthompson5910 (jim_thompson5910):
So that's NOT a counter example
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jimthompson5910 (jim_thompson5910):
We are looking for something that's prime (to disprove the initial claim)
jimthompson5910 (jim_thompson5910):
how about the square root of 64
is that prime or composite?
OpenStudy (anonymous):
8 composite
jimthompson5910 (jim_thompson5910):
so that's out too
jimthompson5910 (jim_thompson5910):
9 is not even, so that's out too
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OpenStudy (anonymous):
found it!!
jimthompson5910 (jim_thompson5910):
that leaves 4
the square root of 4 is 2, which is NOT composite (it's prime)
jimthompson5910 (jim_thompson5910):
So this example disproves the initial claim
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