Question

adding/subtracting radicals (attachment) algebra 2

Answer 1

On all of them? Check this link first. Might give u an idea on how to do them

http://www.regentsprep.org/regents/math/algebra/ao1/Laddsubt.htm

Answer 2

I just need someone to teach me how to do few so i can do my homework @nikato

Answer 3

So for 1. 9 root 3 + 2 root 3
You can just ignore the root 3 for now, so 9+2=11
So
It's 11 root 3

Answer 4

same thing for #2?

Answer 5

Well actually u can't. They have different numbers under the radicals so it doesn't work. U can't simplify it further

Answer 6

so when I know when I can simplify and when I cant?

Answer 7

and for 2 I dont have to do anything?

Answer 8

U can't do anything for 2
So know u can simplify when both the terms have the same number under the radical like in#1, they both had 3.
U can simplify when there's two different #s, like in 2 , when one had a 2 and the other had a 3

Answer 9

how about #4 @nikato

Answer 10

Ok, so no they have the same thing under the radical?

Answer 11

*do

Answer 12

Ok, so because they do, just subtract. 14-3

Answer 13

Ok I did

Answer 14

11^3 root xy ?

Answer 15

Correct.
But just to let u know, it's not 11^3. It's the cube root of xy

Answer 16

yeah thats what I tried to do:p

Answer 17

ok one more lol #10

Answer 18

and 5 cant be added right?

Answer 19

Yea, 5 cant be added . Ok. This ones more complicated.
Lets start with 3 root 32.
We will start by simplifying root 32
.since 32 = 16 x 2 and 16 is a perfect square because root 16=4
So Root 32=4 root 2
Multiply 4 by 3 so 12 root 2

Answer 20

why do i have to multiply?

Answer 21

Because it was originally 3 root 32. Which is like the same as 3 x root 32
And since root 32=4 root 2
So 3 x 4root2
=12 root 2

Answer 22

oh ok!:)

Answer 23

Ok. Now we do same with 2 root 50
50=25 x2 so
Root 50= 5 root 2

2x root 50= 2x5 root 2= 10 root 2

And @calculusxy I can't message u back. But ur answer is half right

Answer 24

And now u should see the 2 terms have the same thing under the radicals now, so u can just add them up like u did before

Answer 25

oh I see it! thank you!

Answer 26

and what about #5?? last one I promise

Answer 27

It's fine. I'm happy to help you with any questions. And I told you that you can't simplify 5 anymore because one has a y while the other has a x under the radical sign

Answer 28

okay and same thing with 7 right?

Answer 29

and 3

Answer 30

Same thing with 3 but for 7 there's an invisible 1, so 1-2

Answer 31

wait I meant 9, but I said 7 cause I saw 7 lol

Answer 32

Yea. U can't simplify 9

Answer 33

and how would I solve 8?

Answer 34

because there is an exponent

Answer 35

U can't simplify 8 because even though they both have 2 under the sign, they mean to different things. One is square root of 2 while the other is cube root of 2

Answer 36

okay and #7 would be: -1 root 3x

Answer 37

Correct

Answer 38

thank you!!

Answer 39

No problem! So were u able to do the rest?