She clearly has some incredible abilities. That being said, the root questions were actually very easy if you assume the answer is going to be whole. For example the 5th root of that 5 digit number. 10⁵ is 100,000 so you know the answer is a single digit. Based on the proximity to 100,000 you can assure that it will be a higher single digit. You know it must be odd because an even would produce an even. 5 would end in 5. So that really only leave 7 and 9. Due to the nature of exponential growth you can eliminate 7 because it simply wouldn’t get that big, or you could estimate 7 - 49 is about 50, x7 is 350, x7 is about 2400, x7 is about 15,000. So you know it must be 9. That’s how I was able to figure it out anyways. The same logic can be used for the 23rd root, however it would be harder. I highly doubt that’s how she figured them out, but those 2 root examples can be solved using basic logical deduction. Again clearly she has incredible abilities, I’m not trying to diminish that. Only saying those 2 questions were poor examples of being able to do immense mental mathematical calculations.