Can anyone give a detailed description on how to work out this answer, i’m not necessarily talented in math and this is one of the first times i’ve had to encounter the square root symbol, if anyone could i would really appreciate it..

The answer for this question is 11 because the perfect square (which is no decimals just a whole number), so to get my answer for this, I basically divided whole number until I got my answer, 11*11 is 121. In other words, to get the answer for these question, it's always a whole number to the power of 2, here are some examples:
4=2
6=3
16=4
25=5
36=6
49=7
64=8
81=9
100=10
121=11
144=12
169=13
And so on
(Hint:the numbers on the left are square root numbers and the number to the right are the answers of the perfect squares. Ps. do you see pattern In the perfect squares, just follow that pattern and u will be successful, it's just +1 for the perfect squares so the nest perfect quart will be 14 and the square root will be 196)

I HOPE THIS HELPS ALOT

It is 11 because 11 * 11 equals to 121

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).