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OpenStudy (errinss):
OpenStudy (agent0smith):
First do prime factorization on 72 (what numbers multiply to give you 72?)
OpenStudy (errinss):
9*8
OpenStudy (agent0smith):
Keep going, until the numbers are as small as possible
OpenStudy (errinss):
i dont get it
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OpenStudy (agent0smith):
What numbers multiply to give you 9, and 8.
OpenStudy (errinss):
3*3 and 4*2
OpenStudy (agent0smith):
Keep going...
OpenStudy (errinss):
3*3 and 2*2*2
OpenStudy (agent0smith):
Good, now put it all together.
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OpenStudy (errinss):
huh
OpenStudy (agent0smith):
72 is the same as...
OpenStudy (errinss):
idk.... A?
OpenStudy (agent0smith):
No, you broke up 72 into the smallest possible factors.
3*3 and 2*2*2
^ put them all together as one product, and also write it using exponents.
OpenStudy (errinss):
how?
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OpenStudy (agent0smith):
Eg. 5*5 is the same as 5^2, right? 7*7*7 is 7^3, right?
Do that, with what you have.
OpenStudy (errinss):
3^2 2^3
OpenStudy (agent0smith):
Now don't forget that it's all under a cube root sign. \[\Large \sqrt[3]{3^2 * 2^3}\]
Now you can try simplifying.
OpenStudy (errinss):
ugh holy crap ow do i do that
OpenStudy (errinss):
how*
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OpenStudy (agent0smith):
Here's an example\[\Large \sqrt[3]{7^3} = 7\]and another \[\Large \sqrt[3]{5*11^3}=11\sqrt[3]{5}\]notice since the 11 is cubed, you can take it out of the cube root.
OpenStudy (errinss):
so C?
OpenStudy (agent0smith):
\[\Large \sqrt[3]{3^2 * 2^3} = 2\sqrt[3]{3^2 }\]
OpenStudy (errinss):
thats not an option
OpenStudy (agent0smith):
Ugh.
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OpenStudy (agent0smith):
I'm sure you can simplify what I gave.
OpenStudy (errinss):
i tried and you ignored it... i asked if it was C
OpenStudy (agent0smith):
Because I want you to be 100% sure of the answer. You shouldn't need confirmation. Just simplify what I gave.
OpenStudy (errinss):
*growls playfully* do i have to?
OpenStudy (agent0smith):
Plus I gave you a medal for a reason lol
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OpenStudy (errinss):
\[2\sqrt[3]{9}\]
OpenStudy (errinss):
I WAS RIGHT, right?
OpenStudy (agent0smith):
Much better. I don't care if whatever letter you gave is correct. Show me that you know the correct answer, like you just did.
OpenStudy (errinss):
lol wow ok....thx
OpenStudy (errinss):
X'D lol now i cant stop laughing
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OpenStudy (agent0smith):
lol well people like to throw out guesses like "is it B?" and just hope someone will give them the answer. Show you know the correct answer.
OpenStudy (errinss):
can you help me with another? lol
OpenStudy (agent0smith):
Sure. But if it's like this, you better have learned something ;)
OpenStudy (errinss):
its like this and i'll show my work.... lol
OpenStudy (errinss):
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OpenStudy (errinss):
so 9*6 goes into 56 now if i simplify i get 3*3 and 3*2
OpenStudy (errinss):
3^2 and 3*2 uhm...now im lost....
OpenStudy (agent0smith):
Maybe check your times tables :P
OpenStudy (errinss):
oops duh lol
OpenStudy (agent0smith):
And don't use "and" show things correctly... if they're multiplied together, then show it (it will help you)
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OpenStudy (errinss):
28*2
OpenStudy (agent0smith):
"3^2 and 3*2" don't use "and" here i mean. If they're multiplied together, show it.
OpenStudy (errinss):
7*8, 14*4,
OpenStudy (agent0smith):
It doesn't matter what numbers you use. Just get them as small as possible, just like you did in the first problem.
OpenStudy (errinss):
7*2 2*2
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OpenStudy (agent0smith):
Why is there a blank space in the middle?
OpenStudy (errinss):
\[\sqrt[3]{7*2*}2^{2}\]
OpenStudy (errinss):
i think...am i doing this right?
OpenStudy (agent0smith):
You are on the right track.
OpenStudy (errinss):
\[2\sqrt[3]{7*2}\]
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OpenStudy (agent0smith):
Go back a step. First show me 56 written with the smallest possible factors
OpenStudy (errinss):
7*2*2^2
OpenStudy (agent0smith):
Right but that isn't the way I'd write it... look at how you did the first problem.
OpenStudy (agent0smith):
Mainly, why do you have a 2*2^2 in there? Isn't there a better way to write that?
OpenStudy (errinss):
\[\sqrt[3]{7*2^{3}}\]
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OpenStudy (agent0smith):
much better.
OpenStudy (errinss):
\[2\sqrt[3]{7}\]
OpenStudy (agent0smith):
\[\Large \checkmark \]
OpenStudy (errinss):
*hugs you* THANKS!!!!
OpenStudy (agent0smith):
you're welcome *awkwardly hugs back*
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OpenStudy (errinss):
1 more? heh sorry i like hugs...im weird
OpenStudy (agent0smith):
Hugs are nice. I'd probably hug you back not-awkwardly
Sure. But make sure to use everything you've done so far.
OpenStudy (errinss):
OpenStudy (errinss):
this one is negative so it kinda threw me off a lil
OpenStudy (agent0smith):
-81 = -1*81
And the cube root of -1 is just -1, so you can pull the negative out of the square root and continue
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OpenStudy (errinss):
\[\sqrt[3]{3^4}\]
OpenStudy (agent0smith):
The negative can't just disappear.
And remember that you can only take things that have an exponent of 3, out of the cube root
OpenStudy (errinss):
ik i wasnt.......lol i forgot the negative\[\sqrt[3]{-3^3*3}\]
OpenStudy (agent0smith):
There you go.
OpenStudy (errinss):
\[-3\sqrt[3]{3}\]
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OpenStudy (agent0smith):
\[\Large \checkmark\]
OpenStudy (errinss):
woohoo XP
OpenStudy (errinss):
i think i got this...sorta
OpenStudy (agent0smith):
You seem to for the most part
OpenStudy (errinss):
*hugs u again* THX FOR THE HELP XP
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OpenStudy (agent0smith):
*hugs*
OpenStudy (errinss):
can you help me with applications of cylinders?
OpenStudy (errinss):
im gonna close this question and open a new one tho