Extraction of square root Square root of 18983449

Extraction of square root

Square root of 18983449: start with the number and a marker above the units digit x 1 8 9 8 3 4 4 9

Move the marker two places to the left. x 1 8 9 8 3 4 4 9

Move the marker two places to the left. x 1 8 9 8 3 4 4 9

Move the marker two places to the left. x 1 8 9 8 3 4 4 9

Replace by marker by the largest integer whose square is no more than the number below it. In this case it is 4. x 1 8 9 8 3 4 4 9

Substract the square of this digit from the number below it. 4 1 8 9 8 3 4 4 9 1 6 2

Write the next two digits from the dividend; multiply the quotient by 20 and find the largest possible digit x such that x(20 quotient + x) does not exceed this number. In this case, this digit is 3. 4 x 1 8 9 8 3 4 4 9 1 6 8 x 2 9 8

Write the next two digits from the dividend; multiply the quotient by 20 and find the largest possible digit x such that x(20 quotient + x) does not exceed this number. In this case, this digit is 3. 4 3 1 8 9 8 3 4 4 9 1 6 8 3 2 9 8 2 4 9 4 3

Write the next two digits from the dividend; multiply the quotient by 20 and find the largest possible digit x such that x(20 quotient + x) does not exceed this number. In this case, this digit is 5. 4 3 x 1 8 9 8 3 4 4 9 1 6 8 3 2 9 8 2 4 9 8 6 x 4 3 3 4

Write the next two digits from the dividend; multiply the quotient by 20 and find the largest possible digit x such that x(20 quotient + x) does not exceed this number. In this case, this digit is 7. 4 3 1 8 9 8 1 6 8 3 2 9 8 2 4 9 8 6 5 4 9 4 3 8 7 0 x 6 5 x 3 4 4 9 3 4 2 5 0 9 4 9

Write the next two digits from the dividend; multiply the quotient by 20 and find the largest possible digit x such that x(20 quotient + x) does not exceed this number. In this case, this digit is 7. 4 3 1 8 9 8 1 6 8 3 2 9 8 2 4 9 8 6 5 4 9 4 3 8 7 0 7 6 6 5 7 3 4 4 9 3 2 0 0 4 5 9 4 9

The square root of 18983449 is 4357 4 3 1 8 9 8 1 6 8 3 2 9 8 2 4 9 8 6 5 4 9 4 3 8 7 0 7 6 6 5 7 3 4 4 9 3 2 0 0 4 5 9 4 9