Question

4) Simplify the following and express in the form a + ib.​

Answer 1

Answer:

5(4 - √15)/17 +  3i (4 - √15)l17

Step-by-step explanation:

( √5 + √3i) ÷ ( √5 - √3i) = ( √5 + √3i)( √5 + √3i) ÷ ( √5 - √3i)( √5 + √3i)

= (8 - 2√15) ÷ (5 - 3i) = (8 - 2√15)(5 + 3i) ÷ (5 - 3i)(5 + 3i) = (8 - 2√15)(5 + 3i) ÷34

= (4 - √15)(5 + 3i) ÷17 = 5(4 - √15)/17 +  3i (4 - √15)l17

Answer 2

a= 1/4

ib= √15i/4. Ans.