Question

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

Answer 1

C)
`(17)/(10)`

Explanation:

`1,732050808 ≈ √(3) \\ \\ 1,73 ≈ √(3)`

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

*
`1(7)/(10) = 1,7`

I am joyous to assist you anytime.

Answer 2

A rational number is a number which is in the form
`(p)/(q) ,q \\eq 0`

Now, the value of the number
`\sqrt 3 = 1.73`

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

`(14)/(9) = 1.6\\ \\ (15)/(13) = 1.2\\ \\ (17)/(10) = 1.7\\ \\ (6)/(5) = 1.2`

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

C is the correct option.