Mathematics
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OpenStudy (anonymous):
-√-4
Is this just 2?
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jimthompson5910 (jim_thompson5910):
the square root of negative number is not a real number
OpenStudy (anonymous):
jim_thompson5910 thank you
jimthompson5910 (jim_thompson5910):
sqrt(-4) = sqrt(-1*4)
sqrt(-4) = sqrt(-1)*sqrt(4)
sqrt(-4) = i*2
sqrt(-4) = 2i
jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
how about -√500? I got -10√5
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jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
awesome!
jimthompson5910 (jim_thompson5910):
oh sry, made a typo
should be
-sqrt(-4) = -2i
jimthompson5910 (jim_thompson5910):
but I'm sure you figured that out
OpenStudy (anonymous):
√81x^6 I got 9√(x)^3
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jimthompson5910 (jim_thompson5910):
no just 9x^3
OpenStudy (anonymous):
really? hmmm
jimthompson5910 (jim_thompson5910):
when you take the square root of x^6, you get x^3 and the root goes away
OpenStudy (anonymous):
oooooooh. Alright I get it
OpenStudy (anonymous):
√64x^16y^34
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OpenStudy (anonymous):
I got4√2(x^2)(y^17)
jimthompson5910 (jim_thompson5910):
square root of 64 = ??
OpenStudy (anonymous):
8
jimthompson5910 (jim_thompson5910):
square root of x^16 = ??
OpenStudy (anonymous):
then I went further with 4√2
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OpenStudy (anonymous):
x^16
OpenStudy (anonymous):
is
OpenStudy (anonymous):
x^4
jimthompson5910 (jim_thompson5910):
no once you get 8, there are no more roots over 8
jimthompson5910 (jim_thompson5910):
so it's just 8
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jimthompson5910 (jim_thompson5910):
for that part
OpenStudy (anonymous):
8^4
OpenStudy (anonymous):
8x^4
OpenStudy (anonymous):
8(x^2)(y^17)?
jimthompson5910 (jim_thompson5910):
no square root of x^16 is x^8
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jimthompson5910 (jim_thompson5910):
square root of y^34 is y^17
jimthompson5910 (jim_thompson5910):
so the answer is 8x^8y^17
OpenStudy (anonymous):
Is it to be written that way as well?
jimthompson5910 (jim_thompson5910):
yeah pretty much
OpenStudy (anonymous):
Thank you, just practicing here
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jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (anonymous):
Can you assist with this one?
OpenStudy (anonymous):
(x+5)^2=-15 solve by using square root property
OpenStudy (anonymous):
Im stuck because there is a negative and you change a positive into a negative so I stuck
jimthompson5910 (jim_thompson5910):
(x+5)^2=-15
x+5 = sqrt(-15) or x+5 = -sqrt(-15)
x = 5+sqrt(-15) or x = -5-sqrt(-15)
x = 5+i*sqrt(15) or x = -5-i*sqrt(15)
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OpenStudy (anonymous):
So its the same thing in the beginning?
OpenStudy (anonymous):
x+5 = sqrt(-15) or x+5 = -sqrt(-15)
jimthompson5910 (jim_thompson5910):
what do you mean
OpenStudy (anonymous):
Ooooooooooh I just saw the difference! -sqrt(-15) and sqrt(-15)
jimthompson5910 (jim_thompson5910):
yeah it's hard to spot sometimes
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OpenStudy (anonymous):
I have not learned anything with the i's yet so I put no solution
jimthompson5910 (jim_thompson5910):
ok that works
OpenStudy (anonymous):
thanks again1
jimthompson5910 (jim_thompson5910):
np