0.227125
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Answer:
![\frac{2(x - 4)}{(x - 2)(x + 2)}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B2%28x%20-%204%29%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20)
Step-by-step explanation:
![\frac{2}{(x - 2)} - \frac{8}{ ({x}^{2} - 4 )} \\ \frac{2}{(x - 2)} - \frac{8}{(x - 2)(x + 2)} \\ \frac{2(x + 2) - 8}{(x - 2)(x + 2)} \\ \frac{2x + 4 - 8}{(x - 2)(x + 2)} \\ \frac{2x - 8}{(x - 2)(x + 2)} \\ \frac{2(x - 4)}{(x - 2)(x + 2)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B%28x%20-%202%29%7D%20%20-%20%20%20%5Cfrac%7B8%7D%7B%20%28%7Bx%7D%5E%7B2%7D%20-%204%20%29%7D%20%20%5C%5C%20%20%5Cfrac%7B2%7D%7B%28x%20-%202%29%7D%20%20-%20%20%5Cfrac%7B8%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20%20%5C%5C%20%20%5Cfrac%7B2%28x%20%2B%202%29%20-%208%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20%20%5C%5C%20%20%5Cfrac%7B2x%20%2B%204%20-%208%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20%20%5C%5C%20%20%5Cfrac%7B2x%20-%208%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20%20%5C%5C%20%20%5Cfrac%7B2%28x%20-%204%29%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20)
A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9. This is because when simplified, the answer is 3.
For a number to be irrational, it can't be expressed in fractional form. However, 3 can be expressed in fractional form as 3/1.
Answer:
11
Step-by-step explanation:
9.9
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