First, we need to be comparing the same type of numbers, so we need to square the 7.666... or take the square root of 55. I have chosen to take the square root of 55, yielding a result of approximately 7.416.
Now, we must compare the numbers and familiarize ourselfs with the symbols. An easy way to remember the symbols is that the arrow points to the smaller number, which leaves us to just compare the values.
Obviously 7.666... is a larger number than 7.416, meaning that 7.6>
