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Complex Radicals

Pro Problems > Math > Number and Quantity > Complex Numbers

Complex Radicals

When the expression
2 +
2 -
1 + i
is simplified, the result can be written as follows: x - xi. Find the value of x.

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Problem by Mr. H


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Complex Simplification

If the complex expressions
1 + i
2 - i
1 - i
2 + i
are simplified, and the resulting expressions are multiplied together, what will the result be?

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Find the ordered pair of real numbers (x, y).

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