Question

How to find 289square root please,show me and prooved that.

Answer 1

 289 make groups of 2 digits from the end
it is 2 89
)2 89( take first group i.e. only 2 find a number whose square is 2 or less than 2 (it is 1)

1 )2 89( 1
--- 1
--------------
--- 1 89 ----------------- remainder 1 and take other group 89 down on 1 (it forms 189

add quotient 1 to divisor 1
1 + 1 = 2
divisor is 2 and dividend is 189
2) 189 ( 
put number on 2 such that e.g. if you put 1 divisor will be 21 and 21 × 1 = 21
find such number is answer is 189
if 22 × 2 = 44
23 × 3 = 69
and so on the required quotient is 7
so that 27 × 7 = 189
1---- )2 89( 17 ----------- is drawn to show distance
+ 1--- 1
--------------
2 7|--- 1 89
-+7|-------- 189
-----|---------------
--34|------- 000
answer is 17
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