Question

i need help on this question please

Answer 1

\[\sqrt[3]{16}+4\sqrt[3]{54}\]

Answer 2

Mandy, go back to your previous problem please.

Answer 3

i already figured out thanks

Answer 4

So you don't really need help with this chapter then. I just typed up an essay.

Answer 5

no but i do with this one. im sorry about that

Answer 6

can i show you what i got so far
so you dont have to type it all

Answer 7

Hint:

\[\sqrt[3]{16}=\sqrt[3]{8} \dot\ \sqrt[3]{2}\]\[\sqrt[3]{54} = \sqrt[3]{27} \dot\ \sqrt[3]{2}\]

Answer 8

\[3\sqrt{16}+4\sqrt[3]{54}\]
\[\sqrt[3]{8}*4\sqrt[3]{2}\]
8=2*2*2
\[2\sqrt[3]{2}+4\sqrt[3]{2}\]
\[6\sqrt[3]{2}\]

Answer 9

You kinda skipped something

Answer 10

\[4\sqrt[3]{27*2}\]
\[4\sqrt[3]{27} *\sqrt[3]{2}\]
then im stuck

Answer 11

Okay, I will show you the steps since you have some kind of idea of what is going on

Answer 12

thanks

Answer 13

\[3\sqrt[3]{16} + 4\sqrt[3]{54} \]\[3 \dot\ \sqrt[3]{8} \dot\ \sqrt[3]{2} + 4 \dot\ \sqrt[3]{27} \dot\ \sqrt[3]{2} \]\[3 \dot\ 2 \dot\ \sqrt[3]{2} + 4\dot\ 3 \sqrt[3]{2}\]\[6 \sqrt[3]{2} + 12\sqrt[3]{2}\]

Answer 14

I see that your initial approach was correct. It was just the way that you presented the steps wasn't very clear.

Answer 15

But also that what I posted isn't the very last step

Answer 16

You can actually factor out the cube root 2

Answer 17

\[\sqrt[3]{2}(6 + 12) = \sqrt[3]{2}(18) = 18\sqrt[3]{2}\]

Answer 18

ok but 27 is 3*3*3 so where did the other 3 go

Answer 19

thats what i got stuck on

Answer 20

oh i see thank you

Answer 21

I was about to say...I thought the steps were pretty clear.

Answer 22

but the answer in the bck of the book is \[14\sqrt[3]{2}\] that was my intial answer the one you got

Answer 23

Maybe the back of the book is wrong?

Answer 24

Double check and see if you have the original question posted correctly.

Answer 25

hold on

Answer 26

you put it wrong there is not 3 before the first one with 16

Answer 27

go up to my first respones

Answer 28

i forgot to put the 3 in the root too

Answer 29

I was going with the latter one you posted where there WAS a three.

Answer 30

So it is 14 cube root 2...okay

Answer 31

The steps are still the same just don't multiply by 3

Answer 32

thank you i understand it now