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Mathematics 17 Online
OpenStudy (anonymous):

PLEASEE help me with this !!!!!!! Write your answer in simplest radical form.

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

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.

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.

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?

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

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

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

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 ?

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

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.

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 ?

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

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 ?

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.

OpenStudy (anonymous):

right into the reply box.

OpenStudy (anonymous):

The code doesn't show you it.

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