Question

PLZ HELP LAST QUESTION

Simplify the given expression below:

2 divided by the quantity of 2 plus 5i

2 over 29
4 over 29
the quantity of 4 plus 10i, divided by 29
the quantity of 4 minus 10i, divided by 29

Answer 1

Explanation:

2 divided by the quantity of 2 plus 5i

to divide we mutliply the fraction by the conjugate of denomiator

conjugate of 2+5i is 2-5i

(2+5i)(2-5i)= 4 +10i +10i - 25i^2

the value of i^2=-1

(2+5i)(2-5i)= 4 +10i +10i - 25i^2= 4 - 25(-1)= 29