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Mathematics 15 Online
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

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

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

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

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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