Question

if n is a rational number and m is an irrational number. Can n + m be a rational number and why or why not

Answer 1

Case; Rational and irrational numbers

Given: n is a rational number and m is an irrational number.

Required: Can n + m be a rational number and why or why not

Method:

n is rational

m is irrational.

`n+m\\e rational\text{ }number`

The sum cannot be a rational number because when a rational number such as 5 or 1/2 is add to an irrational number such as the root of 3. Only some parts of its place value gets changed, maybe up to its it decimal places.

Example:

If

`\begin{gathered} (1)/(2)+√(3) \\ 0.5+1.732... \\ 2.232 \end{gathered}`

Final answer:

No