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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

Respuesta :

Answer:

False

Step-by-step explanation:

A number is said to be a perfect square if it is a product of some integer with itself.

Take two positive integers as [tex]m=2\,,\,n=18[/tex].

[tex]mn=2(18)=36=6^2[/tex]

As [tex]mn=6^2[/tex], [tex]mn[/tex] is a perfect square.

But m and n are not perfect squares.

So, the given statement is false.

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