Add or subtract as needed 3 2i 4 i 7 1 0 14 2 c c Simp

Add or subtract as needed (3 + 2i) + (4 - i) - (7 + 1) 0 14 + 2; -c c Simplify (3 + 2i)^2 5 - 12i 5 + 12i 9 + 4i None Divide 3 + 2i/4 - 2i 2/5 + 2i/10 2/5 - 7i/10 1/10 + 7i/10 1/10 - 2i/10 Simplify (8 + squareroot -50) - (5 + squareroot -8) + (-3 - squareroot -18) 0 11 + 2 squareroot 2i 16 - 5 squareroot 2i 6 -2 squareroot x i Simpllify squareroot -9, squareroot -6 -4 squareroot 3 4 squareroot 3 3 squareroot 4 -2 squareroot 6 Solve x^2 - 2x - 2 = 0 2 plusminus 2i 1 plusminus 2i 2 plusminus i 1 plusminus I Write the complex number in form z = -2 - 2 squareroot 3i 2 (cos 2 pi/3 + i sin 2 pi/3) 4 (cso 4 pi/3 + i sin 4 pi/3) 4 (cos pi/3 + i sin pi/3) 2 (cos pi/3 + i sin pi/3) i^21 is 1 -1 i -I Find the area of a triangle having sides a = 43m, b = 53 m and c = 72 metres. [s = a + b + c/2] Area A = squareroot s (s - a)(s - b) (s - c) Find the angles [Use Law of cosine]

Solution

1. (-3 + 2i) + (4-i) - (7+i)

    -3 + 2i + 4- i -7-i = -6 +2i-2i =-6

    The correct option is c

2. (3+2i)² = (3+2i)(3+2i)

                = 9 + 6i + 6i +4i² =   9+12i -4= 5+12i

The correct option is b

3. (3+2i)/(4-2i) = (3+2i)(4+2i)/(4-2i)(4+2i)

                       = (12+14i+4i²)/(16+8i-8i-4i²)

                       = (12+14i-4)/(16+4) = (8+14i)/20 = (4+7i)/10 = 4/10 + 7i/10 =2/5 + 7i/10

The correct option is a