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Consider z1 = 4 – 4 startroot 3 endrooti and z2 = –16i. What is z1 – z2? 4 – 12startroot 3 endroot i 4 12startroot 3 endroot i 4 – 4( startroot 3 endroot – 4)i 4 4 (startroot 3 endroot – 4)i

Sagot :

The answer is: [tex]z_1-z_2[/tex]= 4-4([tex]\sqrt{3i}[/tex]-4i)

The correct option is: (D)

What are Complex numbers?

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).

Since we have given : [tex]z_1[/tex]==4-4[tex]\sqrt{3i}[/tex] and [tex]z_2[/tex]= -16i

The difference of z1 - z2 would be:

So,

[tex]z_1-z_2[/tex] = 4-4[tex]\sqrt{3i}[/tex] - (-16i)

[tex]z_1-z_2[/tex] =4-4[tex]\sqrt{3i}[/tex]+16i

[tex]z_1-z_2[/tex] =4-4([tex]\sqrt{3i}[/tex] -4i)

Hence, [tex]z_1-z_2[/tex]= 4-4([tex]\sqrt{3i}[/tex]-4i)

Learn more about Complex Number here:

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ahturtle65

Answer:

4 – 4( StartRoot 3 EndRoot – 4)i

it's C.

Step-by-step explanation:

took the L for yall bc my shtoopid ahh thought it was D, which is 4 + 4

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