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OpenStudy (anonymous):
Zarkon is it just 14 or -14?
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OpenStudy (zarkon):
\[\sqrt{-196}=14i\]
is that what you are talking about
OpenStudy (anonymous):
\[\sqrt{-196} = \sqrt{-1}\sqrt{196} = i\sqrt{196}\]
OpenStudy (anonymous):
yess but y did u put i?
OpenStudy (anonymous):
imaginary
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OpenStudy (anonymous):
Alchemista
OpenStudy (anonymous):
i need ur help
OpenStudy (zarkon):
if you don't just want the principle value then it is \[\pm\] the given answer.
OpenStudy (anonymous):
there is no real solution to
\[\sqrt{-196}\]
as -192<0
and -14^=196
and14^2=196
so the imaginary number i=sqroot-1 is used instead
OpenStudy (anonymous):
There is no real number whose square is a negative number. That's why the only solutions like on the complex field.
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OpenStudy (anonymous):
so theres no solution to 196 sqaure root?
OpenStudy (anonymous):
Yes, a real solution to \(\sqrt{196}\) but not \(\sqrt{-196}\)
OpenStudy (zarkon):
the square root of 196 is \[\pm14\]
OpenStudy (anonymous):
yes i meant -196
OpenStudy (anonymous):
There are no real numbers whose square is a negative number. So for any negative number you will not have a real square root.
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OpenStudy (anonymous):
remember thax x^2=x*x
and never x*-x
which would give a negative solution.
OpenStudy (anonymous):
Read about complex numbers.
OpenStudy (anonymous):
ok tanks
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