Mathematics
20 Online
OpenStudy (anonymous):
Simplify:
i11√-121
Question options:
11
-11
11i
-11i
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OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@dtan5457 the answer 11 was wrong sir :(
OpenStudy (anonymous):
and some others was wrong :(
OpenStudy (danjs):
\[\sqrt{-112} = \sqrt{-1 * 121} = \sqrt{-1}*\sqrt{121}\]
OpenStudy (danjs):
can you retype the original expression please
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OpenStudy (anonymous):
i^11 sqaure root -121
OpenStudy (danjs):
oh i^11 power ok
OpenStudy (danjs):
\[i^11 = i^1*i^2*i^2*i^2*i^2*i^2\]
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (danjs):
i to the 11th power is (-1)(-1)(-1)(-1)(-1)*i
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OpenStudy (dtan5457):
@EuniceOB97
sorry, but i dont see what i did wrong.
OpenStudy (danjs):
\[i ^{11} = -i\]
OpenStudy (anonymous):
-11i ?
OpenStudy (danjs):
\[\sqrt{-121} = \sqrt{-1}\sqrt{121} = 11i\]
OpenStudy (danjs):
11i * -i = -11i^2 = -11*(-1) = 11
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OpenStudy (anonymous):
i=sqr(-1)
i^2=-1
i^4=1
OpenStudy (anonymous):
they say 11 is wrong @DanJS
OpenStudy (dtan5457):
i dont see why eunice.
OpenStudy (anonymous):
i^11+i^1 =i^12=1
OpenStudy (danjs):
It is 11, i just checked on the calculator.
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OpenStudy (anonymous):
121=11
so the answer =11
OpenStudy (danjs):
\[i ^{11}\sqrt{-121} = 11\]
OpenStudy (dtan5457):
@EuniceOB97
what others did i do wrong?
OpenStudy (dtan5457):
please post here so i can find mistakes
OpenStudy (dtan5457):
for this one i still got 11 so..
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OpenStudy (anonymous):
Simplify:
i10√-36
Question options:
6
-6
6i
-6i
OpenStudy (dtan5457):
i^10 everybody
OpenStudy (anonymous):
Simplify:
-i8√-400
Question options:
20
-20
20i
-20i
OpenStudy (anonymous):
Simplify:
| −11 + i |
Question options:
√122
12
11 + i
11 - i
OpenStudy (danjs):
i to the tenth times square root of -36 is -6i
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OpenStudy (dtan5457):
i got -6i too..
OpenStudy (anonymous):
@dtan5457 do you see it ?
OpenStudy (anonymous):
the one with the absolute value i do not understand how it is wrong
OpenStudy (dtan5457):
im still sticking with -20i
OpenStudy (dtan5457):
for the 2nd q
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OpenStudy (dtan5457):
honestly i dont see a single mistake in my work. maybe your answer key is messed up.
OpenStudy (anonymous):
do you guys know what the absolute value one is ?
OpenStudy (dtan5457):
got nothing but my old explanation^
OpenStudy (anonymous):
i^10*sqrt(-36)=i^10*i^1*sqrt(36)=i^(10+1)*6=I^11 6=-i 6
OpenStudy (anonymous):
-i^8*sqrt(-400)=-(i^(8+1))*20=-i^9 20=-(i) 20 = -i 20 =-20 i