Non-reducible square roots (like √2 and √3) are irrational.
If we can find a non-reducible square root between -9 and -10, we can use that for our answer (and there is an infinite number of them!).
√81 = 9
√100 = 10
So, √83 is an irrational number between 9 and 10
So, -√83 is an irrational number between -9 and -10.
Non-reducible square roots (like √2 and √3) are irrational.
If we can find a non-reducible square root between -9 and -10, we can use that for our answer (and there is an infinite number of them!).
√81 = 9
√100 = 10
So, √83 is an irrational number between 9 and 10
So, -√83 is an irrational number between -9 and -10.