Question

राइट द कन्ज्यूगेट ऑफ द फॉलोइंग कंपलेक्स नंबर 3+5i​

Answer 1

QUESTION:

• Write the conjugate of 3 + 5i
• Simplify : (2 + 3i)(1 - 4i)

ANSWER:

1) Conjugate of 3 + 5i

We know that the conjugate of a complex number, z = a + ib, is $\bar{\sf{z}}$ = a - ib.

So,

⇒ z = 3 + 5i

⇒ $\bf{\bar{z}}$ = 3 - 5i

2) Simplify : (2 + 3i)(1 - 4i)

⇒ (2 + 3i)(1 - 4i)

⇒ 2 - 8i + 3i - 12i²

We know that, i² = -1. So,

⇒ 2 - 5i - 12(-1)

⇒ 2 + 12 - 5i

⇒ 14 - 5i

Formula Used:

• Conjugate of complex number ,z = a + ib, is $\bar{\sf{z}}$ = a - ib.