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Write the expression in the standard form

Ask by Garrett Ryan. in the United States
Mar 30,2025

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Answer

The expression simplifies to .

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To convert the expression into standard form, we need to eliminate the imaginary number in the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator. The conjugate of is .
Now, we can perform the multiplication:
Calculating the denominator:
Now, calculating the numerator:
Putting it all together, we have:
This can be separated into real and imaginary parts:
Thus, the expression in standard form is:

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