Solve :-
Find the square root of 259.21
Answers
Answer:
16.099
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, 0259.21
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 (11 < 2 < 22). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (02). Divide and get the remainder (1 in this case).
1
1 0259.21
− 1
1
2.
Bring down the next pair 59. 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 26 × 6 = 156, so we choose the new digit as 6. Get the remainder.
16
1 0259.21
+ 1 − 1
26 159
− 156
3
3. Put the decimal point.
4.
Bring down the next pair 21. 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 321 × 1 = 321, so we choose the new digit as 1. Get the remainder.
16.1
1 0259.21
+ 1 − 1
26 159
+ 6 − 156
321 321
− 321
0
End of division (Remainder is 0 and next digit after decimal is 0).
√259.21 = 16.099
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