Maggie says, "The positive square root of a number is always less than the original number." Is this true?

1 Answer
Feb 9, 2016

No

Explanation:

Counter example:
#color(white)("XXXXXX")sqrt(1/4) = 1/2#

but #1/2# is not less than the original number, #1/4#.

However, since I like Maggie, I will concede that her statement is true for all numbers greater than #1#