PLEASEE help me with this !!!!!!! Write your answer in simplest radical form.
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OpenStudy (anonymous):
OpenStudy (anonymous):
\[-2\sqrt[3]{11} - (-8\sqrt[4]{3}) -(-8\sqrt[4]{3}) +15\sqrt[3]{11} \]
Start by combining like terms.
OpenStudy (anonymous):
SO would you combine the first number with the last
OpenStudy (anonymous):
Yes. the first and last terms are like terms. To make it easier for you to type, use x for \(\sqrt[3]{11}\) and y for \(\sqrt[4]{3}\)
OpenStudy (anonymous):
okayyy
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OpenStudy (anonymous):
do i find the sqrt of x ?
OpenStudy (anonymous):
No, the instructions are to simplify not to evaluate. Simplest radical form means that your answer will still contain radicals.
OpenStudy (anonymous):
ohh okay i understand that. so this is the answer ? 2√11 and 4√3
OpenStudy (anonymous):
Not sure how you came up with that, but I found a mistake in my equation. I'll fix it here.
\[-2\sqrt[3]{11} - (-8\sqrt[4]{3}) -8\sqrt[4]{3} +15\sqrt[3]{11}\]
Now it matches what was on your image.
OpenStudy (anonymous):
Note that two negatives make a positive.
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OpenStudy (anonymous):
well how are u just supposed to simplify this ?
OpenStudy (anonymous):
As you stated before, the first and last terms are like terms, combine them.
OpenStudy (anonymous):
Just the same way as if the equation read:
\[-2x-(-8y)-8y+15x\]
OpenStudy (anonymous):
soo do i add them ? -2 and the 15
OpenStudy (anonymous):
yes.
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OpenStudy (anonymous):
okk and then what do i do with the 2 & 11
OpenStudy (anonymous):
do you mean \(\sqrt[3]{11}\)?
OpenStudy (anonymous):
yesssss
OpenStudy (anonymous):
Nothing. You just place the correct coefficient in front of it. Treat it the same as you would a variable.
OpenStudy (anonymous):
Are there any more like terms to combine?
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OpenStudy (anonymous):
sooo it would be 13 2√11
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
now we have to combine y
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
-16 4√3
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OpenStudy (anonymous):
Try again. remember that a negative times a negative equals a positive.
OpenStudy (anonymous):
64 ?
OpenStudy (anonymous):
is this correct
OpenStudy (anonymous):
When there is no coefficient, it is assumed to be 1.
\[-(-8) = +8\]
OpenStudy (anonymous):
16
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OpenStudy (anonymous):
-8 +8 = ?
OpenStudy (anonymous):
0
OpenStudy (anonymous):
right.
OpenStudy (anonymous):
So, when you combine those terms, what do you get?
OpenStudy (anonymous):
idk im lost right now
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OpenStudy (anonymous):
4√0
OpenStudy (anonymous):
OK. You started here:
\[-2\sqrt[3]{11} - (-8\sqrt[4]{3}) -8\sqrt[4]{3} +15\sqrt[3]{11}\]
You combined the first and last terms to get:
\[13\sqrt[3]{11} - (-8\sqrt[4]{3}) -8\sqrt[4]{3}\]
Now, you have a distribution to do. Do you see it?
OpenStudy (anonymous):
you distribute the y ?
OpenStudy (anonymous):
It is the -1.
\[-(-8\sqrt[4]{3}) = -1 \times -8\sqrt[4]{3}\]
Do you see it?
OpenStudy (anonymous):
where did you get -1 ?
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OpenStudy (anonymous):
It is implied with the - outside of the parenthesis.
OpenStudy (anonymous):
alright
OpenStudy (anonymous):
Does that make sense now? Can you finish the problem?
OpenStudy (anonymous):
it makes sence where you put it but i need help putting it in simliest radical form for the answer
OpenStudy (anonymous):
simplest
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OpenStudy (anonymous):
Can you combine those two terms?
OpenStudy (anonymous):
Dinner time. I'll be back soon.
OpenStudy (anonymous):
ugh
OpenStudy (anonymous):
-8 - -8= 0??
OpenStudy (anonymous):
yes.
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OpenStudy (anonymous):
So What does that mean for those two radicals?
OpenStudy (anonymous):
uhmm there simplified ?
OpenStudy (anonymous):
you there
OpenStudy (anonymous):
Yes, I'm here.
OpenStudy (anonymous):
ok. so am i almost done ?
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OpenStudy (anonymous):
Yes. What will you do with the last two terms.?
\[13\sqrt[3]{11} - (-8\sqrt[4]{3}) -8\sqrt[4]{3}\]
OpenStudy (anonymous):
doesnt it become 0?
OpenStudy (anonymous):
Yes. And now you are left with one term. That is the simplified radical.
OpenStudy (anonymous):
13 2√11 ?? how do u write that with the long sqrt sign from a keyboard ?
OpenStudy (anonymous):
and it won't let me copy it
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OpenStudy (anonymous):
\[13 \sqrt[3]{11}\]
That is a cube root, not a square root.
On this site, you would use this code:
13 \sqrt[3]{11}
That is LaTeX code.
OpenStudy (anonymous):
It starts with \[
OpenStudy (anonymous):
And ends with \]
OpenStudy (anonymous):
To get the code for any math writing, right-click on the line and choose "show as math" ->"tex commands.
OpenStudy (anonymous):
whats the website ?
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OpenStudy (anonymous):
To write math here you would use LaTeX. You can get help with LaTeX by typing latex cube root or whatever you are looking for.
OpenStudy (anonymous):
where do you type this at ?
OpenStudy (anonymous):
Any math you see here, you can right-click to get the code used to create it.
\[-2\sqrt[3]{11} - (-8\sqrt[4]{3}) -8\sqrt[4]{3} +15\sqrt[3]{11}\]
Try it above.