Question 59682
your answer is correct.

here is the solution;

 Find the two perfect square numbers in which 180 lies between.

here we have the perfect numbers
     13^2=169 and 14^2=196

so square root of 180 lies between 13 and 14


 Now  Divide 180 by 13. (you can also divide 180 by 14 and take the average of
                        14 and that answer and then you can follow can                          same        method)



180/13 = 13.84(you can round off your answer)

Now find  Average 0f 13.84 and 13.
 
  (13.84 + 13)/2 = 26.84/2 =13.42


Note: There are a number of ways to calculate square roots without a calculator. This is only one of them.