Question

The sum of some positive numbers is less than 1. Can the sum of their squares be greater tha 100? Explain

Answer 1

seems unlikely, since if the sum is one each number is less than one
the square of a number that is less than one is smaller then the original number, i.e. if \(0<a<1\) then \(a^2<a\)

Answer 2

I don't think so. A positive number is a number greater than zero. Since the two numbers equal less than one, we can use .4 and .5 There sum of the squares for these numbers equal no where near 100.

Answer 3

*Their

Answer 4

thanx all