1106.2276 square root by divison method
Answers
Answer:33.26
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, 1106.2276
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 < 11 < 44). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (11). Divide and get the remainder (2 in this case).
3
3 1106.2276
− 9
2
2.
Bring down the next pair 06. 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 63 × 3 = 189, so we choose the new digit as 3. Get the remainder.
33
3 1106.2276
+ 3 − 9
63 206
− 189
17
3. Put the decimal point.
4.
Bring down the next pair 22. 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 662 × 2 = 1324, so we choose the new digit as 2. Get the remainder.
33.2
3 1106.2276
+ 3 − 9
63 206
+ 3 − 189
662 1722
− 1324
398
5.
Bring down the next pair 76. 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 6646 × 6 = 39876, so we choose the new digit as 6. Get the remainder.
33.26
3 1106.2276
+ 3 − 9
63 206
+ 3 − 189
662 1722
+ 2 − 1324
6646 39876
− 39876
0
End of long division (upto 3 decimal places).
√1106.2276 = 33.26