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Square root Long division method

Square root Long division method. Example 1:-Find square root of 529. Step1:- Place bar over pair of digits(2 digits) from units place 529 Example 836 1249 16376. Example 1:-Find square root of 529. Step2:- See the number under bar in extreme left Example 836 1249

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Square root Long division method

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  1. Square root Long division method

  2. Example 1:-Find square root of 529 Step1:- Place bar over pair of digits(2 digits) from units place 529 Example 836 1249 16376

  3. Example 1:-Find square root of 529 Step2:- See the number under bar in extreme left Example 836 1249 16376 529

  4. Example 1:-Find square root of 529 Step3:- Find square of a number which is same or closer to this digits 5. 2 2 529 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 closest to 5

  5. Example 1:-Find square root of 529 2 Step4:- Subtract Bring down next pair of number(2 digits) 2 529 4 - 1 2 9

  6. Example 1:-Find square root of 529 2 2 529 -4 1 2 9 x2 Step 5:- Double the quotient 4

  7. Example 1:-Find square root of 529 Step 6:- Find digit for the unit place of the divisor such that when new number multiplied by the same digit is same or closer to this digits 129. 3 ? 2 2 4 529 -4 1 2 9 41 x 1 = 41 42 x 2 = 84 43 x 3 = 129 3 ? -1 2 9 0 same as 129 ∴ The square root of 529 is 23

  8. Example 2:-Find square root of 10609 Step1:- Place bar over pair of digits(2 digits) from units place 10609 1 Step2:- See the number under bar in extreme left 1 10609 Step3:- Find square of a number which is same or closer to this digits 5. 1 1 x 1 = 1 Same as 1

  9. Example 2:-Find square root of 10609 Step4:- Subtract and bring down next pair of number(2 digits) 1 0 1 Step 5:- Double the quotient 10609 1 Step 6:- Find digit for the unit place of the Divisor such that when new number multiplied by the same digit is same or closer to this digits 6. - x2 2 0 0 6 0 0 ? - 6 0 9 20 x 0 = 0 Same as 0 Step7:- Subtract and bring down next pair of number(2 digits)

  10. Example 2:-Find square root of 10609 Step 7:- Find digit for the unit place of the divisor such that when new number multiplied by the same digit is same or closer to this digits 609. 3 10 1 20 20 10609 -1 0 0 6 6 6 0 9 201 x 1 = 201 202 x 2 = 204 203 x 3 = 609 3 -6 0 9 same as 609 0 ∴ The square root of 10609 is 103

  11. Try These 1. Find square root of 4761 2. Find square root of 11025

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