Respuesta :

Answer:

10 is your answer

Step-by-step explanation:

√((100 * 2)/2)

Simplify. First, follow the Parenthesis. Combine 100 with 2

100 * 2 = 200

Next, divide by 2

200/2 = 100

Root 100

√100 = √10 * √10 = 10

10 is your answer

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An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.

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gmany

[tex]\sqrt{\dfrac{100\cdot2}{2}}=\sqrt{\dfrac{100\cdot\not2^1}{\not2_1}}=\sqrt{100\cdot1}{1}}=\sqrt{100}=10\\\\because\ 10^2=100[/tex]