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Mathematics 14 Online
EndersWorld:

Can’t remember how far we got..

EndersWorld:

@hero

Hero:

...Okay...

EndersWorld:

\[\frac{ \sqrt{60k^2} }{ \sqrt{2k^2} }\]

EndersWorld:

Do you you remember doing this?

EndersWorld:

I can’t find my work for it.

Hero:

Are you sure that is correct as written? Double check or better yet just screenshot and post the problem as it is written in your text.

EndersWorld:

1 attachment
Hero:

If correct, there are rules you can apply such as \(\dfrac{\sqrt{a}}{\sqrt{b}}=\sqrt{\dfrac{a}{b}}\)

EndersWorld:

\[\sqrt{\frac{ 60k^2 }{ 2k^2 }}\]

Hero:

Yes correct. Do you see what cancels easily here?

EndersWorld:

\[60/2=30\]

EndersWorld:

The two k^2 over each other cancel out to one?

Hero:

Yes correct, which leaves you with what?

EndersWorld:

Square root of 30?

Hero:

Okay, so now you have \(\sqrt{30}\). Now what will you do to simplify further?

EndersWorld:

1 attachment
Hero:

Okay so what does that factorization tell you?

EndersWorld:

That I cannot simplify further?

Hero:

Yes correct. So we just leave it as \(\sqrt{30}\) as it is the most simplified form.

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