Question

Samantha claims that any irrational number squared will result in a rational number. Is she correct? Why or why not? Use an example to help explain your answer. (2 points)

Answer 1

Yes, Samantha is correct.

Explanation:

The numbers which can not be represented as the fraction of integers, called irrational numbers.

If we square the irrational numbers then it becomes rational numbers as it can be shown as ratio of integers.

AS FOR EXAMPLE,
`√(2)` is irrational number, but
`√(2) ^(2)` is a rational number.