Question

check each true statement about the number. 7 - √3i
7 is the real part of the number.
√3 is the imaginary part of the number.
7 - √3 is the coefficient of i.
this number is the sum of a real number and an imaginary number.

Explanation:

1. For a complex number in the form $a + bi$, $a$ is the real - part. In $7-\sqrt{3}i = 7+( - \sqrt{3})i$, the real part is 7.
2. The imaginary part of $a + bi$ is $b$. Here, for $7+( - \sqrt{3})i$, the imaginary part is $-\sqrt{3}$, not $\sqrt{3}$.
3. The coefficient of $i$ is $-\sqrt{3}$, not $7 - \sqrt{3}$.
4. A complex number $a+bi$ is the sum of a real number $a$ and an imaginary number $bi$. Here, $7-\sqrt{3}i$ is the sum of the real number 7 and the imaginary number $-\sqrt{3}i$.

Answer:

7 is the real part of the number.
This number is the sum of a real number and an imaginary number.