Answer
5.477
Work Step by Step
25 is the closest perfect square to 30.
Let $a=5$
$y_{1}=1/2*(5+30/5)$
$y_{1}=1/2*(5+6)$
$y_{1}=1/2*11$
$y_{1}=5.5$
$y_{2}=1/2*(5.5+30/5.5)$
$y_{2}=1/2*(5.5+5.4545)$
$y_{2}=1/2*(10.954545)$
$y_{2}=5.47727$