Algebra-1

To find the result of multiplying the complex number (1 + 6i) by its conjugate, we first identify the conjugate of (1 + 6i).

Step 1: Find the Conjugate

The conjugate of a complex number is obtained by changing the sign of its imaginary part. A complex number is typically written in the form:

a + bi

where (a) is the real part and (b) is the imaginary part. The conjugate is given by:

a - bi

 

The conjugate of (1 + 6i) is:

1 - 6i

 

Step 2: Multiply the Complex Number by Its Conjugate

Now, we will multiply (1 + 6i) by (1 - 6i):

(1 + 6i)(1 - 6i)

 

Using the formula for multiplying conjugates,

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