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Simplify the expression

Squre root 2/2+i-square root 3/2-I and write the result in the form a + bt.

1 Answer

4 votes

Final answer:

Without clear parentheses, the complex expression is ambiguous. Assuming the correct terms, the imaginary parts cancel out, leaving a real expression with no imaginary part. The real part is expressed as (√(2) - √(3))/2.

Step-by-step explanation:

The expression in question seems to involve complex numbers and is likely meant to be in the form √(2/2) + i - √(3/2) - i, which involves both the square root and imaginary unit 'i'. However, without clear parentheses, it's ambiguous and difficult to provide a definitive simplification. If we were to assume the expression is (√(2)/2 + i) - (√(3)/2 + i), then we could simplify by combining like terms. In this case, the imaginary parts cancel out, and we're left with (√(2) - √(3))/2. The real part of the simplified expression would be a, and there would be no imaginary part, so b would be 0. To further simplify this expression, we would need specific instructions on how to deal with the square roots and the complex terms.

User Bill Forney
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