Question

Find the square roots of the following perfect squares using the long division method :
a) $357096609$
b) $159.7696$

Answer 1

18897

-----------------------------------------

1 0357096609

1

----------------------------------

2

28 257

224

----------------------------------

33

368 3309

2944

----------------------------------

365

3769 36566

33921

----------------------------------

2645

37787 264509

264509

----------------------------------

0

$\therefore \sqrt{357096609}=18897$

12.6400237

-----------------------------------------

1 0159.7696

1

----------------------------------

059

22 44

----------------------------------

15

246 1576

1476

----------------------------------

100

25.24 10096

10096

-----------------------------------

060

50.564

----------------------------------

25.282 9.436

943.6

935.3616169000001

25.2800437 --------------------------------

8.238383099999965

$\therefore \sqrt{159.7696}=12.64$