Is a to the second power over b to the second power greater than a over b?
Let's reverse the question -
Is a over b less than a squared over b squared?
Answer - Only when a is less than b
example 1: a is less than b
a = 2 a squared = 4
b = 3 b squared = 9
2 / 3 = .6666 4 / 9 = .444444
2 / 3 is greater than 4 / 9
example 2: a is equal to b
a = 2 a squared = 4
b = 2 b squared = 4
2 / 4 = .5 2 / 4 = .5
2 / 4 is equal to 2 / 4
example 3: a is greater than b
a = 3 a squared = 9
b = 2 b squared = 4
3 / 2 = 1.5 9 / 4 = 2.25
3 / 2 is less than 9 / 4
- wjs1632 -