How many fifths must be added to 3.4 to total 4?

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Astudent simplified a rational expression as shown.

What are the soultion(s) to the quadratic equation 40- x^2=0

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?