Quiz (1 point)
Prove that:
square root of ((3 / 4) ⋅ (s ⋅ s)) = (square root of 3) ⋅ (s / 2)
The following properties may be helpful:
- (3 / 4) ⋅ (s ⋅ s) = 3 ⋅ ((s ⋅ s) ⋅ (1 / 4))
- square root of (a ⋅ b) = (square root of a) ⋅ (square root of b)
- square root of ((s ⋅ s) ⋅ (1 / 4)) = s / 2
- if (3 / 4) ⋅ (s ⋅ s) = 3 ⋅ ((s ⋅ s) ⋅ (1 / 4)), then square root of ((3 / 4) ⋅ (s ⋅ s)) = square root of (3 ⋅ ((s ⋅ s) ⋅ (1 / 4)))
if a = b, then c ⋅ a = c ⋅ b
if the following are true:
- a = b
- b = c
then a = c
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.