Mathematics
7 Online
OpenStudy (anonymous):
@ blacklable would you help me with some quizzes so that i wont get doced?
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OpenStudy (anonymous):
@BlackLabel i think the first is right the second though im not sure
OpenStudy (anonymous):
Sham get out of here its my question
OpenStudy (shamil98):
Think of it as this:
\[\huge \sqrt{36 * 2 * z^2}\]
what values can you take out of the sqrt symbol?
babe pls
OpenStudy (anonymous):
Okkk ure fine sham
Love you ♥
OpenStudy (shamil98):
thanks babe ly2
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OpenStudy (anonymous):
i got
7 x 2 sqrt2 - 3 x 5 srt 7
OpenStudy (anonymous):
6 x 6 = 36
OpenStudy (shamil98):
correct, so what is your final answer for the first one?
OpenStudy (anonymous):
im on problem 2 i just needed to check if problem 1 was correct
OpenStudy (shamil98):
nope, my bad i looked at the wrng one
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OpenStudy (anonymous):
Shammm ure wrong the first answer is D
OpenStudy (shamil98):
i have brainfarts, sometimes
OpenStudy (shamil98):
and yeah its d.
\[\huge \sqrt{72z^2} = \sqrt{36*2z^2} = 6z \sqrt{2}\]
OpenStudy (anonymous):
Sham and I are getting married ♥
OpenStudy (shamil98):
yep we are
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OpenStudy (shamil98):
oh and back to the question..
OpenStudy (anonymous):
congrats to you both :)
OpenStudy (anonymous):
and on problem 2 i have 7 x 2 sqrt2 - 3 x 5 srt 7 so would i proceed with the subtraction?
OpenStudy (shamil98):
\[\huge 2\sqrt{28} - 5\sqrt{63} = 2\sqrt{7*4} - 5\sqrt{9*7}\]
OpenStudy (shamil98):
\[\huge 2*2\sqrt{7} - 5*3\sqrt{7}\]
\[\huge 4\sqrt{7} - 15\sqrt{7}\]
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OpenStudy (anonymous):
O_OWTF
OpenStudy (anonymous):
oh i see i forgot a step its d
OpenStudy (shamil98):
becomes
\[\huge -11\sqrt{7}\]
OpenStudy (shamil98):
yep
OpenStudy (anonymous):
YAYYY sham :*
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OpenStudy (shamil98):
:*
OpenStudy (shamil98):
interesting how this post has turned into a somewhat of a convo
OpenStudy (anonymous):
ok so on this one i have to factor the exponents, and ikr
OpenStudy (shamil98):
\[\huge \sqrt{20x^3} * \sqrt{32xy^4}\]
\[\huge \sqrt{5*4*x^3} * \sqrt{16*2 *xy^4}\]
simplify it pls
OpenStudy (anonymous):
ok so
5x sqrt.4x^2 (x) 4 x y^2sqrt2 ?
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OpenStudy (shamil98):
and for the second one
if you remember
\[\huge \sqrt[n]{x^m} = x^{\frac{ m }{ n} }\]
OpenStudy (shamil98):
the hell did you get that from.
OpenStudy (anonymous):
i got it backwards
OpenStudy (shamil98):
\[\huge \sqrt{5*4*x^3*16*2*xy^4}\]
\[\huge 16*2 \sqrt{5*2 x^4y^4}\]
\[\huge 8x^2y^2\sqrt{10}\]
OpenStudy (shamil98):
that should be a 4*, damn latex
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OpenStudy (anonymous):
\[2x \sqrt{5x^2} \times 4x^2 \sqrt{2x^2}\]
not sure if this is what you mean
OpenStudy (shamil98):
i dont know how you got that answer lol, but what i posted above is the answer for that one
OpenStudy (shamil98):
\[\huge (\sqrt[5]{x^6+9})^4 = ((x^6+9)^{\frac{ 1 }{ 5} })^4\]
OpenStudy (shamil98):
when you have this
\[\huge (x^m)^n = x^{m*n}\]
OpenStudy (anonymous):
option c
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OpenStudy (shamil98):
so 1/5 x 4 = 4/5
\[\huge (x^6+9)^{\frac{ 4 }{ 5} }\]
OpenStudy (shamil98):
yep good job
OpenStudy (anonymous):
ok this one if my teacher was correct i just have to factor 729 because of x^7 that would leave me with just x
OpenStudy (anonymous):
the sqrt is 27
OpenStudy (shamil98):
think of it as this
\[\huge \sqrt[6]{729} * \sqrt[6]{x^7}\]
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OpenStudy (shamil98):
\[\huge \sqrt[6]{729} = 3 --> 3x \sqrt[6]{x}\]
OpenStudy (anonymous):
so thats 3 x \[3 \times \sqrt[6]{x^7}\]
OpenStudy (anonymous):
:)
OpenStudy (shamil98):
yep
OpenStudy (anonymous):
ah i see what you did, mi have no idea why the teacher made it harder than what it really was lol
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OpenStudy (anonymous):
on the second one you said m / n right?
so
\[\sqrt[4]{(256)^3}\]
OpenStudy (shamil98):
yeah
OpenStudy (shamil98):
evaluate (256)^3 then take the 4th root
OpenStudy (shamil98):
it's the same as
(256)^(3/4)
u could do that too
OpenStudy (shamil98):
using a calculator.
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OpenStudy (anonymous):
oh so :
i got 192 the sqrt of that is a 13.85
OpenStudy (shamil98):
(256)^3/4 = 64
OpenStudy (shamil98):
you could do it like this
256^3 = 16777216
16777216^(1/4) = 64
OpenStudy (anonymous):
i have no idea how to get exponents on this calculator
OpenStudy (shamil98):
just use wolfram, makes your life a bit easier
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OpenStudy (anonymous):
it said 4194304
OpenStudy (anonymous):
lol yes i did i had (256)^3/4
OpenStudy (anonymous):
ok so i should just have to guess and check on this one
OpenStudy (anonymous):
i think its b or c
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OpenStudy (shamil98):
okay.
\[\huge -19 * \sqrt[7]{15x+8} = -38\]
\[\huge \sqrt[7]{15x+8} = 2\]
\[\huge (\sqrt[7]{15x+8} )^7 = 2^7\]
\[\huge 15x + 8 = 128\]
OpenStudy (shamil98):
\[\huge 15x = 120 , x = 8\]
OpenStudy (anonymous):
i thought it was the positive and negative i was supposed to take, how do i check it correctly
OpenStudy (shamil98):
what are you talking about
OpenStudy (anonymous):
how do i check x = 8 or is there a way to?
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OpenStudy (shamil98):
i just showed you that x = 8 -_-
OpenStudy (shamil98):
you can plug it back into the equation you'll get the same answer
OpenStudy (shamil98):
you'll get the answer that it makes the equation true*
OpenStudy (anonymous):
i know you showed it just when i plug it back in i don't get the same result
OpenStudy (shamil98):
then you probably had an error, with your math
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
let me try it again
OpenStudy (anonymous):
i got it
OpenStudy (anonymous):
it is 8
OpenStudy (shamil98):
\[\huge -19*\sqrt[7]{15(8) + 8} = -38\]
\[\huge -19 * \sqrt[7]{128} = -38\]
\[\huge -19 * 2 = -38\]
THERFORE i am correct
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OpenStudy (shamil98):
dunno why u doubt me
OpenStudy (anonymous):
i dont doubt you i just was trying to check the answer for my personal knowledge, i see where i had did it wrong...
OpenStudy (anonymous):
on the second problem, i know that i is -1
OpenStudy (shamil98):
i = √-1
so
\[\huge 2 \sqrt{-27} = 6i \sqrt{3}\]
OpenStudy (shamil98):
\[\huge 2\sqrt{-27} ->2\sqrt{9*3*-1} ->2*3*i \sqrt{3}\]
\[\huge 6i \sqrt{3}\]
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OpenStudy (anonymous):
on this one i had made a simple chart for my class even is negative odd is positive
OpenStudy (anonymous):
no it switches at a point
OpenStudy (shamil98):
every odd exponent at i is -i
i^2 = -1
i^3 = -i
i^5 = -i
and so on
OpenStudy (shamil98):
i^39 = -i
-63i/-9i = 7
OpenStudy (anonymous):
the first is working with imaginary numbers so im not sure if i is going to be there
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OpenStudy (shamil98):
-4 * 10 = -40
i * i = -1
-40 * -1 = 40
OpenStudy (shamil98):
anyways i have to go
OpenStudy (anonymous):
ok thank you for the help... :)