Question

Alma reasoned that adding a rational number with an irrational number would give you a rational number. is alma correct? explain your reasoning using words and numbers.

Answer 1

That is not correct. Rational plus an irrational gives an irrational.

For example 3 + √2 is irrational

Answer 2

Alma is incorrect in her statement.

Explanation:

It was given that:

Alma reasoned that adding a rational number with an irrational number would give you a rational number.

she is incorrect as adding an rational number with an irrational number always gives an irrational number.

Example:

`4+√(5)` is an irrational number.

Where 4 is an rational number and
`√(5)` is an irrational number and so adding both of them gives an irrational number.