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What is the simplified form of the expression 8the square root of v squared. − the square root of v to the fourth power. − the square root of the quantity 9 times v squared. + the square root of the quantity 16 times v to the fourth power.

Question

I Am Awarding Medals! @satellite73 calling @amistre64 @Hero, UNITE!



What is the simplified form of the expression 8the square root of v squared. − the square root of v to the fourth power. − the square root of the quantity 9 times v squared. + the square root of the quantity 16 times v to the fourth power.

anonymous · Answer

The answer choices are

15v2 + 11v 

 11v2 + 15v 

 5v2 + 3v 

 3v2 + 5v

anonymous · Answer

@Hero , if you're not too busy do you think you could help?

anonymous · Answer

Or @amistre64 you're good too.

amistre64 · Answer

i dont get good grades in my english classes .... even tho i was borned over here

anonymous · Answer

What other language do you speak

amistre64 · Answer

i dabble in a few; even samerican sign language, but im not proficient at any of them.  English is my strongest tho

anonymous · Answer

Ok, either you'll be fine, I'm sure I'll be able to understand

amistre64 · Answer

8the square root of v squared: $8\sqrt{v^2}$
− the square root of v to the fourth power: $-(\sqrt v)^4$
− the square root of the quantity 9 times v squared: $-\sqrt{9v^2}$
+ the square root of the quantity 16 times v to the fourth power: $+\sqrt{16v^4}$

anonymous · Answer

yes

amistre64 · Answer

$$\Large 8v^{2/2}-v^{4/2}-3v^{2/2}+4v^{4/2}$$

anonymous · Answer

That's not the equation

amistre64 · Answer

oh, then i guess someone else needs to do it ....

anonymous · Answer

The equation look like this

amistre64 · Answer

@Hero any ideas?

hero · Answer

Maybe @santiagoto should write what he thinks the equation is.

anonymous · Answer

$$8\sqrt{v^2}-\sqrt{v^4}-\sqrt{9v^2}+\sqrt{16v^4}$$

amistre64 · Answer

a few propeties to keep in mind:$$\sqrt{ab}=\sqrt{a}~\sqrt{b}\~\\sqrt{k^n}=k^{n/2}$$

anonymous · Answer

ok

amistre64 · Answer

$$8v^{2/2}-v^{4/2}-3v^{2/2}+4v^{4/2}$$

anonymous · Answer

@Hero can you show me on vyew, that really helped

anonymous · Answer

Hello?

hero · Answer

Try factoring out common factors.

hero · Answer

What's common to each term?

anonymous · Answer

$$v ^{2}$$?

hero · Answer

$$\sqrt{v^2}$$

anonymous · Answer

Oh

hero · Answer

But that simplifies to something

anonymous · Answer

So    $$8-\sqrt{v^2}-3+\sqrt{16v^2}$$

hero · Answer

What happened to the expression you factored out?

anonymous · Answer

I divided everything by sqrt{v^2}

hero · Answer

You have to place it on the outside with parentheses around the expression above.

hero · Answer

$$\left(8 - \sqrt{v^2} - 3 \sqrt{16v^2}\right)\sqrt{v^2}$$

hero · Answer

What does sqrt(v^2) simplify to?

anonymous · Answer

I was typing that equation in. I thought that Sqrt{v^2} goes in the front

hero · Answer

It doesn't matter whether you put in front or back, as long as it's factored out bro. now what does sqrt(v^2) simplify to? C'mon bro.

anonymous · Answer

v

anonymous · Answer

??

hero · Answer

Yes. Simplify all of the squares.

hero · Answer

Remember the rule $$\sqrt{ab} = \sqrt{a} \dot\ \sqrt{b}$$

anonymous · Answer

Wait, that's kinda confusing

hero · Answer

$$\sqrt{16v^2} = \sqrt{16} \dot\ \sqrt{v^2}$$

What's confusing about that?

hero · Answer

It's the same exact thing I showed you yesterday

anonymous · Answer

Well it was confusing to find the difference of a and b you never showed me that, or did you?

hero · Answer

I showed you that rule yesterday.

anonymous · Answer

Oh yeah, lemme get my notes

anonymous · Answer

Got em

hero · Answer

Anyway, it simplifies to 

$$(8 - v - 12v)v$$

You should be able to finish simplifying it from there.

anonymous · Answer

16

anonymous · Answer

!!

anonymous · Answer

Is that right? @Hero

hero · Answer

I don't know where you get 16 from bro. All you had to do is simplify the expression. It doesn't simplify to a single number.

hero · Answer

The expression will include varable v, but it will be in a more simplified form.

anonymous · Answer

I kept going to try other questions and I still don't get it helppppp! @Hero

hero · Answer

I thought you were understanding this but I was wrong. If you can't simplify the expression above then you need more help than previously thought.

anonymous · Answer

Not really maybe a quick review anything you got. I understand some but then I get lost and I don't see how some things are done that's when I get tripped up

hero · Answer

I don't see why you cannot simplify (8 - v - 12v)v

hero · Answer

There's nothing to get tripped up about it. That's basic algebra.

anonymous · Answer

I can do that! Just I was confused before. Remember you're already used to this I'm still just learning it. I'm a rookie and you're a college math guru.

hero · Answer

If you can do it, then what is the simplifed version of that expression?

hero · Answer

You wrote "16" before which means nothing in terms of simplifying the expression.

anonymous · Answer

8v-v^2-12v^2

hero · Answer

And you cannot simplify it further?

anonymous · Answer

8v+12v^4?

hero · Answer

No. there's nothing about the expression that suggests to multiply anything.

anonymous · Answer

Isnt that why the v is in the front, for multiplication

hero · Answer

7 - 4 = 3
7x - 2x = 5x
5x^2 - 2x^2 = 3x^2

hero · Answer

See a pattern there?

hero · Answer

When you have like terms you combine them.

anonymous · Answer

No :?

hero · Answer

Well, I do...and it's obvious.

hero · Answer

But here's the more interesting thing.

hero · Answer

7x - 2x = (7 - 2)x = 5x
5x^2 - 2x^2 = (5 - 2)x^2 = 3x^2

anonymous · Answer

Oh

hero · Answer

Remember when we were talking about factoring out what's common?

hero · Answer

(8 - v - 12v)v

has two terms with a common variable. Combine them together first:
(8 - 13v)v

You can leave it like that or you can multiply the v to get
8v - 13v^2

hero · Answer

Either of those last two expressions are acceptable for a final answer.

anonymous · Answer

Oh, I get it thanks again. And you work at a college?

anonymous · Answer

And unfortunately, that isn't one of the answer choices, now what?!

hero · Answer

It's not one of the answer choices because I made a mistake.

hero · Answer

It's hard not to make a mistake while typing on this computer.

anonymous · Answer

So that's why I got tripped up lol, I knew something was wrong.

hero · Answer

My mistakes are usually minor mistakes that could lead to huge mistakes. But your mistakes are just based on not knowing.

anonymous · Answer

Whats up with your computer

hero · Answer

There's nothing up with it. I just type too fast sometimes and miss a plus or minus here and there.

hero · Answer

Which is not the same as you not understanding how to simplify an expression.

hero · Answer

I guess now we can test that out to see if you really understand.

anonymous · Answer

Ok lets go for it. :/

hero · Answer

I can show you the mistake I made. I left out a plus:

Incorrect:
$$\left(8 - \sqrt{v^2} - 3 \sqrt{16v^2}\right)\sqrt{v^2}$$

correct:
$$\left(8 - \sqrt{v^2} - 3  + \sqrt{16v^2}\right)\sqrt{v^2}$$

Now you can try simplifying the correct expression.

anonymous · Answer

(5-sqrt{v^2}+sqrt{16v^2})sqrt{v^2}
So far

hero · Answer

Bro Did you already forget what sqrt(v^2) reduces to?

hero · Answer

And you also seemed to have forgotten what sqrt(ab) equals

anonymous · Answer

v, I know I'm taking it step by step bro

hero · Answer

Well, post each step line by line all in the same post. Then submit.

anonymous · Answer

ok

(8-v-3+sqrt{16v})sqrt{v}
(5+sqrt{17v})sqrt{v}

hero · Answer

That's not correct.

hero · Answer

$$\sqrt{v^2} \ne \sqrt{v}$$

hero · Answer

Also

$$\sqrt{16v^2} \ne \sqrt{16v}$$