Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
2
+
5
√
6
2
+
5
6
Decimal Form:
14.24744871
…
Answer: C
Step-by-step explanation:
Answer:
![x = 14](https://tex.z-dn.net/?f=%20x%20%3D%2014%20%20)
Step-by-step explanation:
To find x, the following equation is generated given the available information:
![\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%20%2B%207%29%20%2B%20x%29%7D%7Bx%20%2B%207%7D%20%3D%20%5Cfrac%7B12%20%2B%208%7D%7B12%7D%20)
![\frac{2x + 7}{x + 7} = \frac{20}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%20%2B%207%7D%7Bx%20%2B%207%7D%20%3D%20%5Cfrac%7B20%7D%7B12%7D%20)
![\frac{2x + 7}{x + 7} = \frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%20%2B%207%7D%7Bx%20%2B%207%7D%20%3D%20%5Cfrac%7B5%7D%7B3%7D%20)
Cross multiply
![3(2x + 7) = 5(x + 7)](https://tex.z-dn.net/?f=%203%282x%20%2B%207%29%20%3D%205%28x%20%2B%207%29%20)
![6x + 21 = 5x + 35](https://tex.z-dn.net/?f=%206x%20%2B%2021%20%3D%205x%20%2B%2035%20%20)
Collect like terms
![6x - 5x = - 21 + 35](https://tex.z-dn.net/?f=%206x%20-%205x%20%3D%20-%2021%20%2B%2035%20%20)
![x = - 21 + 35](https://tex.z-dn.net/?f=%20x%20%3D%20-%2021%20%2B%2035%20%20)
![x = 14](https://tex.z-dn.net/?f=%20x%20%3D%2014%20%20)
Answer:
5.6
Step-by-step explanation:
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