QuestionSimplify and express it as .
Studdy Solution
STEP 1
Assumptions1. We are working with complex numbers, where is the imaginary unit with the property that .
. The square root of a negative number is defined as the square root of the absolute value of the number times .
3. The division of complex numbers is defined as multiplying the numerator and denominator by the conjugate of the denominator and simplifying.
STEP 2
First, we simplify the square roots in the numerator and the denominator.
STEP 3
Substitute these values back into the original expression.
STEP 4
implify the denominator.
STEP 5
Remember that , so substitute for .
STEP 6
implify the expression by multiplying the numerator and the denominator by .
STEP 7
To write the result in the form , we can consider the real part as and the imaginary part as .
So, the result is
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