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Which choice represents the best rational approximation for *square root symbol* 3? A) 14/9 B) 15/13 C) 17/10 D) 6/5

Respuesta :

A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]

Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]

Now let us evaluate each given rational number in decimal form.

[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]

Therefore, among these numbers, the best approximation is option c i.e. 17/10.

C is the correct option.

Answer:

C) [tex]\frac{17}{10}[/tex]

Step-by-step explanation:

[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]

Therefore answer choice C) would be the best approximate answer to this:

* [tex]1\frac{7}{10} = 1,7[/tex]

I am joyous to assist you anytime.

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