Square root of 9548100 by division method?
Answers
Answer:
3090
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, 09548100
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 (33 = 9). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (09). Divide and get the remainder (0 in this case).
3
3 09548100
− 9
0
2.
Bring down the next pair 54. 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 60 × 0 = 0, so we choose the new digit as 0. Get the remainder.
30
3 09548100
+ 3 − 9
60 054
− 0
54
3.
Bring down the next pair 81. 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 609 × 9 = 5481, so we choose the new digit as 9. Get the remainder.
309
3 09548100
+ 3 − 9
60 054
+ 0 − 0
609 5481
− 5481
0
4.
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 6180 × 0 = 0, so we choose the new digit as 0. Get the remainder.
3090
3 09548100
+ 3 − 9
60 054
+ 0 − 0
609 5481
+ 9 − 5481
6180 000
− 0
0
5. Put the decimal point.
End of division (Remainder is 0 and next digit after decimal is 0).
√9548100 = 3090
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Answer:
3090
3 9548100
-9
60 054
-00
609 5481
-5481
000000