Question

Please do number 7. If you can’t see it I can retake

Answer 1

Step-by-step explanation

Given a complex number of the form a +bi we can find the absolute value as:

`|a+bi|=\sqrt[]{a^2+b^2}`

In the question, we are asked to find the absolute value of -7+i. Therefore we can solve as;

`\begin{gathered} |-7+i|=\sqrt[]{(-7)^2+1^2}=\sqrt[]{49+1}=\sqrt[]{50} \\ =\sqrt[]{25*2} \\ =5\sqrt[]{2} \end{gathered}`

Answer:

`5\sqrt[]{2}`