The square root of 25 is 5
The square root of 36 is 6
So the square root of 27 is between 5 and 6, and closer to 5 than to 6.
Try 5.12 = 52 + 2*5*0.1 + 0.12 = 25 + 10*.1 + a little bit = around 26
5.22 = 25 +10*.2 + a little bit = 27 + a little so that looks good.
Then approx value for 8 + sqrt(27) = 8 + 5.2 = 13.2
The precise answer is 13.196 so the approximation is only 0.03% out.
It depends entirely on the value of x.
21
No answer in integers. Near approximation x = -0.09 or -1.24
49
49
The value of 1 plus the square root of 2 is approximately 2.41.
It is 34.
It depends entirely on the value of x.
16
15
21
No answer in integers. Near approximation x = -0.09 or -1.24
49
81.
49
144
(b/2)^2= 64