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Mathematics 22 Online
OpenStudy (anonymous):

HELP!

OpenStudy (anonymous):

OpenStudy (anonymous):

@denonakavro

OpenStudy (phi):

How far did you get ?

OpenStudy (anonymous):

I'm confused.. I just need help with starting it, I believe its A^2 + B^2 = C^2..

OpenStudy (denonakavro):

3^2+3^2 = c^2 9+9 = 18 c= sqrt 18

OpenStudy (phi):

ok, and the A and B stand for the sides

OpenStudy (anonymous):

Ok.

OpenStudy (phi):

replace the A and the B with the numbers they gave you

OpenStudy (anonymous):

3 and 3

OpenStudy (phi):

yes, and "put them into the equation"

OpenStudy (anonymous):

SO thats 3^2 + 3^2 = C^2?

OpenStudy (denonakavro):

Then we can simplify sqrt 18 sqrt18 = sqrt(2x3x3) = 3(sqrt2)

OpenStudy (phi):

yes, now do 3*3

OpenStudy (anonymous):

9

OpenStudy (phi):

that means 3^2 = 3*3 is 9 replace the 3^2 with 9 and add them

OpenStudy (anonymous):

18.

OpenStudy (phi):

so what does your equation look like now ?

OpenStudy (anonymous):

3^2+3^2 = c^2 9+9 = 18

OpenStudy (denonakavro):

Lol I did not even give him an answer and I get warned thanks a lot

OpenStudy (phi):

almost. the left side is 18, the right side is c^2 try again

OpenStudy (anonymous):

So C is 18 right?

OpenStudy (phi):

no. notice you do this: 3^2 + 3^2 = c^2 you replace 3^2 with 9 (because you know 3^2 is the same as 9) 9+9= c^2 then you add 9+9 to get 18 replace 9+9 with 18 to get 18= c^2 that says c^2 is 18 (which is different from c=18)

OpenStudy (anonymous):

Ok.

OpenStudy (phi):

do you know how to get just c ?

OpenStudy (anonymous):

No..

OpenStudy (anonymous):

I thought C was the answer..

OpenStudy (phi):

you have to learn that square root of c^2 is c if you have c^2 = 18 you "take the square root" of both sides that means write a square root around each side can you do that ?

OpenStudy (anonymous):

No. o.o

OpenStudy (phi):

write sqrt next to each side

OpenStudy (anonymous):

Ok. So write that against C^2 = 18

OpenStudy (phi):

yes, on both sides

OpenStudy (anonymous):

Sqrt C^2= 18 Sqrt

OpenStudy (phi):

yes. If you use the equation editor you would write it this way \[ \sqrt{c^2}= \sqrt{18} \] now simplify the left side. remember the square root "undoes" the square

OpenStudy (phi):

although I would write the right side as sqrt 18 which is a way to say \[ \sqrt{18} \]

OpenStudy (phi):

you should get c= sqrt 18 or \[ c= \sqrt{18} \]

OpenStudy (anonymous):

Oh. Thanks.

OpenStudy (anonymous):

Do you have to simplify sqrt of 18?

OpenStudy (phi):

do you know how to write 18 as numbers multiplied together ?

OpenStudy (anonymous):

Yes.

OpenStudy (phi):

what do you get ?

OpenStudy (anonymous):

2x3x3

OpenStudy (phi):

yes so for part B you start with \[ c= \sqrt{2\cdot 3 \cdot 3}\] if you have a *pair* of numbers inside a square root, you can take them out what is left inside the square root if you take out a pair of the same number ?

OpenStudy (anonymous):

2?

OpenStudy (phi):

yes. the 2 stays inside the square root. if you take out a pair , 3*3 in this case, you put only *one of them* out in front of the square root

OpenStudy (anonymous):

so 3 sqrt 2?

OpenStudy (phi):

yes, but you should type out the whole line: c= 3 sqrt 2 that is the answer for part B

OpenStudy (anonymous):

Ok, can you put everything we worked over because I want to write it down for notes. Equation wise.

OpenStudy (phi):

You will have to read over the posts up above

OpenStudy (phi):

for part C, you should use a calculator (though some people memorize the sqrt 2)

OpenStudy (anonymous):

Ok.

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