Question

write the multiplicative inverse of 2/3 3/4​

Answer 1

Answer:

ANSWER

Given imaginary number is

a=

2

3

−

2

1

i

multiplicative inverse(b) of a number(a) is defined by

a×b=1

or b=

a

1

hence,

b=

2

3

−

2

1

i

1

or

b=

3

−i

2

multiply and divide above equation by (

3

+i) we get

b=

(

3

−i)(

3

+i)

2(

3

+i)

b=

(3−i

2

)

2(

3

+i)

b=

(3+1)

2(

3

+i)

b=

4

2(

3

+i)

b=

2

3

+i

(multiplicative inverse of given number a)