Write the complex conjugate of the complex number and multiply the complex number by its complex conjugate. 16+i√10
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266

Step-by-step explanation:

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The complex conjugate of 16 + i√10

is

16 - i√10   Notice the only difference is the minus sign.

(16 + i√10)(16 - i√10)

First: 16 * 16 = 256

Outside: - 16 * i√10

Inside: 16*i√10

Last: i*√10   *   -i*√10 = - i^2 (√10)^2

        i^2 = -1

        (√10)^2 = 10

Last: + 10

Notice the outside and inside terms cancel and the last term becomes + 10

The answer is 256 + 10 = 266

3

step-by-step explanation: