Consider the following statement. If m and n are any positive integers and mn is a...

 

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Consider the following statement. If m and n are any positive integers and mn is a perfect square, then m and n are perfect squares. Is the statement true or false? Find values of m and n that can be used to answer this question and enter them below. (m, n) = When you substitute the values you filled in for m and n, which of the choices below answers the question? The statement is true. Proof: Let m and n be the numbers in the ordered pair above. Then mn is a perfect square and m and n are perfect squares. O The statement is false. Counterexample: Let m and n be the numbers in the ordered pair above. Then mn is a perfect square and at least one of m and n is not a perfect square. O The statement is false. Counterexample: Let m and n be the numbers in the ordered pair above. Then mn is not a perfect square but m and n are perfect squares. O The statement is false. Counterexample: Let m and n be the numbers in the ordered pair above. Then mn is not a perfect square and at least one of m and n is not a perfect square. Consider the following statement. If m and n are any positive integers and mn is a perfect square, then m and n are perfect squares. Is the statement true or false? Find values of m and n that can be used to answer this question and enter them below. (m, n) = When you substitute the values you filled in for m and n, which of the choices below answers the question? The statement is true. Proof: Let m and n be the numbers in the ordered pair above. Then mn is a perfect square and m and n are perfect squares. O The statement is false. Counterexample: Let m and n be the numbers in the ordered pair above. Then mn is a perfect square and at least one of m and n is not a perfect square. O The statement is false. Counterexample: Let m and n be the numbers in the ordered pair above. Then mn is not a perfect square but m and n are perfect squares. O The statement is false. Counterexample: Let m and n be the numbers in the ordered pair above. Then mn is not a perfect square and at least one of m and n is not a perfect square.

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We claim that choose m n tet and n ordered pair above is a per fect ... View the full answer