Simplify each radical expression.

- anonymous

Simplify each radical expression.

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- anonymous

|dw:1377891673224:dw|

- skullpatrol

Any ideas?

- anonymous

let me try. hold on

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## More answers

- anonymous

on numbe 6, is it like , get the square root of 75 and 3 then add it up?

- skullpatrol

Yes, but the question is asking you to simplify.

- anonymous

i dont really know how to do that '-' would it be sqrt 78 ?

- skullpatrol

Use a calculator and check please.

- anonymous

|dw:1377892346496:dw|

- skullpatrol

OpenStudy values the Learning process - not the ‘Give you an answer’ process
Don’t post only answers - guide the asker to a solution.

- jdoe0001

hmm, which one are you doing?

- anonymous

when i typed qrt 75 + sqrt 3 on my calculator it gave me = 78

- jdoe0001

5?

- anonymous

THE PROBLEM IS , idk how to do that

- anonymous

axactly , guide me to an asnwer

- anonymous

all of them @jdoe0001

- skullpatrol

$$\huge \sqrt{75}+ \sqrt3 $$

- skullpatrol

Any other ideas? @Laaislima

- anonymous

I told you idk how to do it

- skullpatrol

Tell what you DO know about this?

- jdoe0001

ahemm... ok, notice the 1st one, \(\bf \sqrt{45n^5}\) notice the 45, can you break it down in factors? lemme do this so you can see it|dw:1377892954939:dw|
\(\bf 45 = 3 \times 3 \times 5 \implies 45 = 3^2 \times 5\\
n^5 = n \times n\times n\times n\times n \implies n^2 \times n^2 \times n\\
\sqrt{45n^5} \implies \sqrt{ 3^2 \times 5 \times n^2 \times n^2 \times n }\)

- anonymous

@jdoe0001 that is not the final asnwer right?

- jdoe0001

so what can you take out of the radical?

- jdoe0001

no, it still needs simplifying

- anonymous

is it like '' add the same? like , 3^2 with the n ^2? Im sorry i havent done this in a while

- skullpatrol

Relax, and let him do all the work...

- jdoe0001

any exponential inside the radical, that matches the radical, comes out, by itself, without exponent \(\bf \Large \sqrt[n]{x^ny} \implies x \sqrt[n]{y}\)
notice, the "x" comes out, since it matches the radical, the "y" does not

- anonymous

@skullpatrol I dont need him to do all the work , I want to understando how to do it

- jdoe0001

yeap, agree on that, you have do use some "elbow grease" hehe

- anonymous

how am I going to do it MYSELF if I DO NOT KNOW HOW, good God, you'd suck as a teacher.

- skullpatrol

I know it is hard work to learn something new but please try to put some effort into learning.

- jdoe0001

the concept is very simplistic really
in my view, what happens is, some folks get off track not because the concept is simple, but because they ask for something 3 hops further down the road
you can' t understand say polynomial rationals if haven't done polynomials
so you'd need to cover polynomials first, but can't blame others for that

- anonymous

Forget it . Thanks

- jdoe0001

seems to me you haven't done any exponentials whatsoever, thus

- jdoe0001

:| yeah, in my view, that's what happens for skipping chapters

- anonymous

In my view, you are guessing a situation, don't know why I have to be on online school nor how hard it if for me to learn math without a teacher ;)

- skullpatrol

Don't they give you a textbook?

- anonymous

They do , but once again, math it's not easy for everybody, I've always been bad in math, even when I was in school with a teacher standing in front of me, now think without it... not so easy buddy , not so easy

- skullpatrol

http://www.youtube.com/watch?v=6QJtWfIiyZo

- skullpatrol

Try this guy he's pretty good for all topics in math :)

- anonymous

Thank you

- skullpatrol

Thanks for trying to learn something new in math.

- anonymous

Ok , so on 7
I got
√7 x √14 + √7 x √3 = √7 x 14 + √7x3
√7 x 14 = 98 = √49 x 2
√49 x √2 = 7√2
7√2 + √21
can I simplify even more?

- skullpatrol

Please watch the videos first, and if you don't understand what is going on; then go to the next lower level, until you find a level where you do know what is going on, then work your way up. That is the best way to learn math.

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