Answer :
Answerpossible answer is given below:
Step-by-step explanation:To calculate the given expression, we need to follow the order of operations (PEMDAS):
1. Evaluate the expressions inside the parentheses:
- (1 - i) = 1 - i
- (1 + i) = 1 + i
2. Raise each expression to the power of 1/2:
- (1 - i)^(1/2) = √(1 - i)
- (1 + i)^(1/2) = √(1 + i)
3. Multiply the two expressions:
- (√(1 - i)) × (√(1 + i)) = √((1 - i) × (1 + i))
4. Simplify the expression:
- √((1 - i) × (1 + i)) = √(1 - i^2)
- √(1 - i^2) = √(1 - (-1))
- √(1 - i^2) = √2
So the final result is √2.
