Proof: Square Root 2
Let's prove the following theorem:
if a = b ⋅ b, then square root of a = b
Proof:
Given
| 1 | a = b ⋅ b |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | square root of a = square root of (b ⋅ b) | if a = b ⋅ b, then square root of a = square root of (b ⋅ b) |
| 2 | square root of (b ⋅ b) = b | square root of (b ⋅ b) = b |
| 3 | square root of a = b | if square root of a = square root of (b ⋅ b) and square root of (b ⋅ b) = b, then square root of a = b |
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