options: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
problem_activity: Task
Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of
$$
1.4142136.
$$
She then writes
$$
\sqrt{2} = 1.4142136.
$$
Is Jessica correct?  Explain.
Explain, in terms of the structure of the expression $(1.4142136)^2$, why
it can not be equal to $2$.
Use the reasoning of part (b) to explain why $\sqrt{2}$ can not be equal
to any terminating decimal.


correct_option_index: 0