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Mathematics 9 Online
OpenStudy (anonymous):

i need help with a few questions simplifing radicals with nth roots. only 10 mins of your time please

OpenStudy (anonymous):

question?

OpenStudy (anonymous):

ok it is \[\sqrt[3]{-16}a ^{3}b ^{8} \] all underneath the square root sign

OpenStudy (anonymous):

I cant read the exponents they are too small. could you just type it out for mne please?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

a to the 3rd power and b to the eighth power and its to the cube root

OpenStudy (anonymous):

alrighty

OpenStudy (anonymous):

is the -16 the only thing under the cube root ?

OpenStudy (anonymous):

yes besides the a to the third power and b to the eighth

OpenStudy (anonymous):

so the variables are NOT under the root?

OpenStudy (anonymous):

they are

OpenStudy (anonymous):

okey dokey

OpenStudy (anonymous):

sorry my computer froze

OpenStudy (anonymous):

So we could take the cube root of -16, but thats an ugly number, and we cant take the square root of a negative number so it has to remain under there. The cube root of a cubed is a. for example cube 2 to get 8, the cube root of 8 is 2. so we take a out from under the radical and we have a * cuberoot(-16b^8)

OpenStudy (anonymous):

good so far?

OpenStudy (anonymous):

can u type the answer please using equation symbols

OpenStudy (anonymous):

\[a * \sqrt[3]{-16b^8}\]

OpenStudy (anonymous):

can u snwser some more? how many are u willing to do

OpenStudy (anonymous):

we arent done with the problem yet!

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

Hmm. maybe we are... Hold on just a sec and let me see if that is simplified. I think it is but I dont want to give you false info, I will re ask the question on here and maybe someone smarter than me will respond.

OpenStudy (anonymous):

I was really far off. I'm sorry for even trying to attempt that question without having practiced it in over a year. I hope I didnt confuse you. sorry

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