First, here are some examples: ((s ⋅ s) ⋅(1 / 4))(1 / 2) = s / 2
((3 ⋅ 3) ⋅ (1 / 4))^(1 / 2) = 3 / 2
((8 ⋅ 8) ⋅ (1 / 4))^(1 / 2) = 8 / 2 = 4
(8 ⋅ 125)^(1 / 2) = 125
(x + 3 ⋅ x + 3)^(1 / 2) = x + 3
Quiz (1 point)
Prove that:
((s ⋅ s) ⋅ (1 / 4))(1 / 2) = s / 2
The following properties may be helpful:
- (s ⋅ s) ⋅ (1 / 4) = (s / 2) ⋅ (s / 2)
- (x ⋅ x)(1 / 2) = x
if (s ⋅ s) ⋅ (1 / 4) = (s / 2) ⋅ (s / 2), then ((s ⋅ s) ⋅ (1 / 4))(1 / 2) = ((s / 2) ⋅ (s / 2))(1 / 2)
if the following are true:
- a = b
- b = c
then a = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.