Answer
a) 81 is the closest perfect square to 80.
b) 8.94444
c) 8.94425
d) 8.944272
e) The second estimate would be much closer than the first estimate. As more estimates are taken, the closer the final estimate will be to the actual result.
f) 3
Work Step by Step
b)
$y_{1}=1/2*(9+80/9)$
$y_{1}=1/2*(9+8.88889)$
$y_{1}=1/2*(17.88889)$
$y_{1}=8.9444$
c)
$y_{2} = 1/2*(8.9444+80/8.9444)$
$y_{2} = 1/2*(8.9444+8.9441)$
$y_{2} = 1/2*(17.8885)$
$y_{2} = 8.94425$
