A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The correct option is D.
What is a complex number?
A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
To find the conjugate of a complex number, we change the sign of the complex part of the number. Therefore, the conjugate of -14-2i is -14+2i.
The modulus of the given complex number -14-2i is,
|z| = √[(-14)²+(-2)²]
= √(196 + 4)
= √200
= 10√2
Hence, the conjugate and modulus of –14 – 2i are -14+2i and 10√2, respectively.
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