Evaluate

Problem

(18+√(,−324))/(2+√(,−4))

Solution

1. Express the square roots of negative numbers in terms of the imaginary unit i where √(,−1)=i

2. Simplify the radicals by calculating the square roots of the positive values.

√(,−324)=√(,324)⋅√(,−1)=18*i

√(,−4)=√(,4)⋅√(,−1)=2*i

3. Substitute these values back into the original expression.

(18+18*i)/(2+2*i)

4. Factor out the greatest common factor from both the numerator and the denominator.

(18*(1+i))/(2*(1+i))

5. Cancel the common factor (1+i) from the numerator and the denominator.

18/2

6. Divide the remaining constants to find the final value.

9

Final Answer

(18+√(,−324))/(2+√(,−4))=9

Want more problems? Check here!