square root of 4100 by long division meatod
Answers
Answer:
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Answer:
ok this picture is your answer mate
Step-by-step explanation:
Group the digits into pairs (For digits to the left of the decimal point, pair them from right to left. For digits after decimal point, pair them from left to right).
Thus we have, 4100
Perform division as per steps shown below:
1.
Find the largest number whose square is less than or equal to the number in the leftmost group (66 < 41 < 77). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (41). Divide and get the remainder (5 in this case).
6
6 4100
− 36
5
2.
Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 124 × 4 = 496, so we choose the new digit as 4. Get the remainder.
64
6 4100
+ 6 − 36
124 500
− 496
4
3. Put the decimal point.
4.
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 1280 × 0 = 0, so we choose the new digit as 0. Get the remainder.
64.0
6 4100.00
+ 6 − 36
124 500
+ 4 − 496
1280 400
− 0
400
5.
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 12803 × 3 = 38409, so we choose the new digit as 3. Get the remainder.
64.03
6 4100.0000
+ 6 − 36
124 500
+ 4 − 496
1280 400
+ 0 − 0
12803 40000
− 38409
1591
6.
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 128061 × 1 = 128061, so we choose the new digit as 1. Get the remainder.
64.031
6 4100.000000
+ 6 − 36
124 500
+ 4 − 496
1280 400
+ 0 − 0
12803 40000
+ 3 − 38409
128061 159100
− 128061
31039
End of long division (upto 3 decimal places).
√4100 = 64.031