Question

square root of 4436? by long division method




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Answer 1

Question :- find square root of 4436 by long division method ?

Solution :-

Step 1) :-

• Make a pair of 2 from right side .
• 44 - 36

step 2) :-

• Take the largest number as the divisor whose square is less than or equal to the number on the extreme left of the number pairs.

6 ) 44 - 36 ( 6

-36

8-36

• As 7² is greater than, 44 .

step 3) :-

• Now double the value of the quotient and enter it on next quotient .

126 ) 836 ( 6

-756

80

as we can see it is not a perfect square . we can add some zeros after decimal .

step 4) :-

• taking pair of zero after decimal .
• Adding quotient into divisor . 126 + 6 = 132

1326 ) 8000 (6

- 7956

44

step 5) :-

• taking pair of zero after decimal .
• Adding quotient into divisor . 1326 + 6 = 1332

1332x ) 4400 (

since it is not divisible , we have to add 0 in quotient and taking one more pair down.

therefore, we can conclude that,

→ √(4436) ≈ 66.60