Two questions i had on an assignment were about Rational and Irrational numbers. I would just like to check my answers.
1) Is sqrt[3] an irrational number? Yes....this is correct.
2) Are 3<sup>-1</sup>, -4, sqrt[-25] all rational numbers?
3<sup>-1</sup> means 1/3, so yes, this is rational.
-4 can be written as -4/1, so yes, this is rational.
sqrt(-25) is NOT a real number (because multiplying any real number times itself always results in something greater than or equal to 0). Because it is not a real number, it is neither rational nor irrational.