Write perfect squares that are greater than 150 and less that 250

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?

The random variable x is defined as the number marking the sector in which the arrow lands when the spinner in the diagram is spun once.

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.