Question

Find the square root of 8028.16 by long division method.

Answer 1

solurion:-

given :-

8028.16

=> √ 8028.16

= √802816 × 10^(-2)

now,

802816÷4=

=200704÷4

=50176÷4

= 12544÷4

= 3136÷4

= 784÷4

= 196÷4

= 7÷7

= 1

hence ,

=>√802816 × 10^(-2)

= √4×4×4×4×4×4×4×7×7 × 1/10×1/10

= 4×4×4×7×1/10√4

= 4×4×4×7×1/10 ×2

= 896/10 =89.6

so,

Answer is √ 8028.16 = 89.6

I hope it helps you.....