Question

Write the conjugate of (1+i)*2

Answer 1

Answer:

To find a conjugate of a binomial, simply change the signs between the two terms. For 1+2i, the conjugate is 1-2i. To find : Write the conjugate of the number? The conjugate form of a complex number is changing the imaginary part sign

Step-by-step explanation:

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Answer 2

The conjugate of (1+i)*2 is -2i.

Given:

The number (1+i)*2.

To Find:

The conjugate of (1+i)*2.

Solution:

To solve this problem, we will use the following concepts:

1. A complex number is of the form a+ib where 'i' is the imaginary number. Here 'a' is the real part and 'b' is the imaginary part.
2. i = $\sqrt{-1}$, i² = -1.
3. We can find the conjugate of an imaginary number by simply changing the sign of the imaginary part 'b'. Hence, the conjugate of a complex number a+ib = a-ib.

Now,

(1+i)*2 = 2+ 2i

Hence, the conjugate of (1+i)*2, or

$\overline{(i+1)*2 }$ = 2-2i.

∴ The conjugate of (1+i)*2 is -2i.

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