Question

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Simplify...

Answer 1

Assuming all variables are non-negative.

\(\large \sqrt{200xyz^3} \)

Answer 2

10 sqrt(2) x y z^3

Answer 3

hint:
\[\Large 200 = 2 \cdot 100 = 2 \cdot 4 \cdot 25 = 2 \cdot {\left( {2 \cdot 5} \right)^2}\]

Answer 4

\(\large \sqrt{200xyz^3} \)

\( \large = \sqrt{2 \times 100xyz^2z} \)

Answer 5

I'm not understanding any of that :/

Answer 6

\(\sqrt{100} = 10\) and \(\sqrt {z^2} = z\)

Answer 7

\[2z \sqrt{10xyz}\] Would it be this then?

Answer 8

When you simplify a square root, you need to break up the numbers and variables inside the root into products in which one factor is a square.

Answer 9

\(\large =10z\sqrt{2xyz} \)

Answer 10

You're on the right track, but it's the 10 that comes out and the 2 is left inside.

Answer 11

ohh so \[10z \sqrt{2xyz}\]

Answer 12

Yes.

Answer 13

Okie doke. Thanks!

Answer 14

For example, we broke up 200 into 2 * 100.
100 is the largest factor of 200 that is a perfect square.

Answer 15

You're welcome.