im having the worst time with radicals I need sqrt 72x^2

Question

anonymous · Answer

What are the factors of 72?

anonymous · Answer

2 2 2 3 3

anonymous · Answer

$$
\sqrt{72} = \sqrt{2\times 2 \times 2 \times 3 \times 3} = \sqrt{2\times 2^2\times 3^2} = 2\times 3\times \sqrt{2} = 6\sqrt{2}
$$

anonymous · Answer

Break 72 into anything that you can take the square root of. Since 72 = 9*4*2, and x^2 is x*x, pull out all of the square roots you can from inside the radical (in this case x^2, 9 and 4).  From there, the answer will be easy to break down.  Hope this helps.

anonymous · Answer

On the other hand $$
\sqrt{x^2} = |x|
$$

anonymous · Answer

Good point, wio.

anonymous · Answer

so you multiply the factors that show up twice and put it outside of the radical 6x sqrt 2?

anonymous · Answer

Yeah.

anonymous · Answer

oh ok lol thank you

goformit100 · Answer

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