Question

Can you identify these numbers as rational or irrational. Please explain. -√127 and 291.87

Answer 1

An irrational number/value is one you cannot express in terms of a ration, or a fraction, it cannot be written as fraction

now 291.87... is simple, two decimals, so you use two zeros at the botom and end up with $\bf \cfrac{29187}{100}$ and boom, there you are, a fraction, nice and dandy

now, let's see the first one -√(127)  well, low and behold, 127 is a prime number, and and thus is has no two factors that'd serve as root, so, there's no rational root that'd give that, that makes it irrational