Simplify:
| −6 + 8i |
Question 9 options:
√196
10
14 + i
16 - i
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@dtan5457 i realy do not understand this
OpenStudy (dtan5457):
o i forgot this give me a second
OpenStudy (anonymous):
okay :)
OpenStudy (dtan5457):
GOT IT
OpenStudy (anonymous):
yay :)
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (dtan5457):
what u looking at over here is the formula of
\[\left| a+bi \right|=\sqrt{a^2+b^2}\]
OpenStudy (dtan5457):
so a=-6
and b=8
OpenStudy (dtan5457):
\[\sqrt{36+64}=100 \]
OpenStudy (dtan5457):
square root of 100 is...
OpenStudy (dtan5457):
10!
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
10
OpenStudy (dtan5457):
exactly good job
OpenStudy (anonymous):
yes thank you but what if its a i as a b ?
OpenStudy (anonymous):
so i do i^2?
OpenStudy (anonymous):
like for example -11 + i
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (dtan5457):
oh. when there are absolute values, you ignore the i
OpenStudy (dtan5457):
also the equation is a+bi so im pretty sure there must be a coefficient next to i.
OpenStudy (anonymous):
no there is no coefiicient
OpenStudy (dtan5457):
do you have a specific example thats from your book or something? a=always never i
bi= must have coefficient or what else will b be
OpenStudy (anonymous):
Simplify:
| −11 + i |
Question 8 options:
√122
12
11 + i
11 - i
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@dtan5457
OpenStudy (dtan5457):
oooh. simple let me show you
OpenStudy (anonymous):
okay :)
OpenStudy (dtan5457):
i still represents \[\sqrt{-1}\]
OpenStudy (dtan5457):
so therefore is you follow the formula of
|a+bi|=a2+b2−−−−−−√
a which is -11 in this case will become 121 and the square root of -1 times the square root of -1 is just -1
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (dtan5457):
so to sum it all up you get
\[\sqrt{121-1}\]
OpenStudy (dtan5457):
-1 becomes i +11
OpenStudy (dtan5457):
from the 121
OpenStudy (dtan5457):
so your answer is simply 11+i
OpenStudy (dtan5457):
clear?
Still Need Help?
Join the QuestionCove community and study together with friends!