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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Assuming all variables are nonnegative. \(\large \sqrt{200xyz^3} \)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[\Large 200 = 2 \cdot 100 = 2 \cdot 4 \cdot 25 = 2 \cdot {\left( {2 \cdot 5} \right)^2}\]

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\large \sqrt{200xyz^3} \) \( \large = \sqrt{2 \times 100xyz^2z} \)

k_lynn
 one year ago
Best ResponseYou've already chosen the best response.1I'm not understanding any of that :/

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\sqrt{100} = 10\) and \(\sqrt {z^2} = z\)

k_lynn
 one year ago
Best ResponseYou've already chosen the best response.1\[2z \sqrt{10xyz}\] Would it be this then?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2When 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\large =10z\sqrt{2xyz} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You're on the right track, but it's the 10 that comes out and the 2 is left inside.

k_lynn
 one year ago
Best ResponseYou've already chosen the best response.1ohh so \[10z \sqrt{2xyz}\]

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2For example, we broke up 200 into 2 * 100. 100 is the largest factor of 200 that is a perfect square.
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