Question

What is the simplified form of the expression the square root of the quantity 16 times c to the eighth power. - the square root of c squared. + 5 the square root of c squared. + the square root of the quantity 4 times c squared.?

8c4 + 8c

4c4 + 8c

8c4 + 6c

4c4 + 6c

Answer 1

Hey, I think I can help with this. Let me work through it and make sure I've got the right idea. :)

Answer 2

This is the expression btw if it helps

Answer 3

So sorry. Helping a few other people. I'm back.

Answer 4

Ok :)

Answer 5

That does help, thanks!

Answer 6

Do you have any answer choices?

Answer 7

8c4 + 8c

4c4 + 8c

8c4 + 6c

4c4 + 6

Answer 8

Hello, idiot...so sorry

Answer 9

ok i think i have an easier question you can help me with if you're willing

Answer 10

Def., I'll figure this one out, too, tho

Answer 11

Sorry, it's just I'm not an expert and this is something I learned a few months ago so I'm digging into the depths of my brain to remember

Answer 12

But I WILL get it, LOL

Answer 13

ok

Answer 14

if you figure out 1 of the two I will be so grateful because I have no idea what this stuff is tbh

Answer 15

Simplifying radicals. Sorry, had to finish up with the other person. K, let me take a look at this second one.

Answer 16

Are you in FLVS? :)

Answer 17

Found it in my notebook. Now I can teach you how to do it. Momentito.

Answer 18

I don't need help with the 2nd one anymore just the first please. The first one is my last question.

Answer 19

are you still there?

Answer 20

Yes! It is D. Let me walk you through it.

Answer 21

So sorry that took so long. You don't have to give me a medal. Alright, so here's how you do it:
The first term is 16 sqrt c^8. 16 is a perfect square - when you take its square root, you get 4, right?
So that gives you 4 sqrt c^8. How many times does c^2 go into c^8?

Answer 22

4. So that simplifies the first term (which was the most complicated) to 4c^4. The second term is simplified, and so is the third. The fourth term has a coefficient of 4 within the radical, and if you take its square root, you just write a 2 outside of sqrt c^2.

Answer 23

You deserve it thank you for taking your time to help me. Unfortunately i'm in rush to be somewhere so I have to go. But again, Thank you so much!

Answer 24

Now it's simple addition and subtraction. 4c^4 - sqrt c^2 + 5 sqrt c^2 + 2 sqrt c^2.
You can make all the sqrt c^2 terms into just c. That's -1 + 5 + 2 = 6.
4c^4 + 6c.
Good luck!

Answer 25

Btw it was right

Answer 26

Aw, thanks. Sorry it took so long. I'm just getting into helping other students on here.

Answer 27

Did you get the 2nd one right?

Answer 28

and yes i did get the 2nd one it was\[42k \sqrt{5k}\]

Answer 29

Awesome job! Let me know if you need any more help (any time).

Answer 30

Go ahead and close this question :)