Matt and Marie are choosing numbers on the complex plane. Matt chooses the point $1-4i$. Marie chooses $-4+2i$. How far apart are Marie and Matt's points?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Matt and Marie are choosing numbers on the complex plane. Matt chooses the point $1-4i$. Marie chooses $-4+2i$. How far apart are Marie and Matt's points?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\sqrt{61}
Matt and Marie are choosing numbers on the complex plane. Matt chooses the point $1-4i$. Marie chooses $-4+2i$. How far apart are Marie and Matt's points?
train