Question

8) Express the following in the form of a + bi, a, b €R, i = V-1. State the value of a and b. (2+V-3)/(4+V-3)​

Answer 1

Answer:

a=1/5,b=2/5

Step-by-step explanation:

i=v-1

then v = i+1

put it in (2+V-3)/(4+V-3)​

(2+(i+1)-3)/(4+(i+1)-3)

i/i+2

multiply both numerator and denominator by i-2

i(i-2)/(i^2-4)

(i^2-2i)/(-5)

(-1-2i)/(-5)

1/5 + (2/5)i

so, a=1/5

and b=2/5