Please help:)
what is 6√150x simplified?

Question

Please help:)
what is  6√150x simplified?

accessdenied · Answer

Well, if you break up 150 into a product of a perfect square, we get
$ 6 \sqrt{150x} = 6 \sqrt{6 \times \mathbf{25} x} $

From there, you should be able to pull out a 5 from the property $\sqrt{ab} = \sqrt{a}\sqrt{b}$.

anonymous · Answer

So it'd be 30x √ 6?

anonymous · Answer

I get confused with the variable

accessdenied · Answer

You cannot remove the $x$ from the square root because it is only multiplied once.  If it were something like $x^2$, we could bring out an $|x|$ because $\sqrt{x^2} = |x|$ (the absolute values make sure that we respect that x can be positive or negative and still be $x^2$)

anonymous · Answer

That makes sense! So then it would be $$30\sqrt{6x}$$

accessdenied · Answer

Yes.  :)

anonymous · Answer

Thanks, I keep learning things every five seconds on open study:D