Question

find the square root of 484 by long division method?

Answer 1

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Answer 2

Answer:

• Taking 484 as the number whose square root is to be found. Place a bar over the pair of numbers starting from the unit’s digit. In case of an odd number the leftmost digit will also have a bar, 4¯¯¯ 84¯¯¯¯¯ .
• Take the largest number as the divisor whose square is less than or equal to the number on the extreme left. The number on the extreme left is the dividend. Divide and write the quotient. Here the quotient is 2 and the remainder is 0.
• We then bring down the number which is under the next bar to the right side of the remainder, in this case, we bring down 84. Now, 84 is our new dividend.
• Now double the value of the quotient and enter it with a blank on the right side.

• Now we have to select the largest digit for the unit place of the divisor (4_) such that the new number, when multiplied by the new digit at unit’s place, is equal to or less than the dividend (84).
• In this case, 42 × 2 = 84. So the new digit is 2.
• The remainder is 0 and we have no number left for multiplication, Therefore,
• √484 = 22