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Mathematics 24 Online
OpenStudy (anonymous):

Help with Equations!!!!

OpenStudy (anonymous):

C?

OpenStudy (jhannybean):

What is the prime factorization of 196 when you divide it by 4?

OpenStudy (anonymous):

\[7^{2}\]

OpenStudy (anonymous):

@Jhannybean

OpenStudy (anonymous):

u need to find the square root of 196

OpenStudy (jhannybean):

That's part of it, \[\sqrt{196} = \sqrt{4 \cdot 7 \cdot 7}\]Now remember, for every TWO numbers inside the square root, 1 of them can come out of the square root. SO... \[\sqrt{196} = \sqrt{\color{red}{2 \cdot 2} \cdot \color{green}{7 \cdot 7}}\] That means 1 \(\color{red}{2}\) comes out and 1 \(\color{green}{7}\) comes out. Multiply these together, what do you get?

OpenStudy (jhannybean):

Not quite. How did you arrive at that conclusion?

OpenStudy (jhannybean):

Your initial guess was right, but I want you to tell me how you found it.

OpenStudy (anonymous):

it was a guess

OpenStudy (anonymous):

I'm confused @Jhannybean

OpenStudy (jhannybean):

Which part are you confused with? I will guide you from there.

OpenStudy (anonymous):

lets start over

OpenStudy (jhannybean):

If it helps in any way... let's try a different approach. If you don't like this method either, ignore it. \[(196)^{1/2} = (4)^{1/2} \cdot (49)^{1/2}\] What does.... \[4^{1/2}=~?\]\[(49) ^{1/2} =~?\]

OpenStudy (acxbox22):

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