Answer:
The answer is C at 8.1.
Step-by-step explanation:
To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.
Now, for the decimal part, use the following formula:
(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)
Then, put in the known information, which will look like:
(66 - 64)/(81 - 64) = 2/17 = 0.117
Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.
