square root of 5776 =76 how
Answers
square root of 5776 =76 how
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, 5776
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 (77 < 57 < 88). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (57). Divide and get the remainder (8 in this case).
7
7 5776
− 49
8
2.
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 146 × 6 = 876, so we choose the new digit as 6. Get the remainder.
76
7 5776
+ 7 − 49
146 876
− 876
0
3. Put the decimal point.
End of division (Remainder is 0 and next digit after decimal is 0).
√5776 = 76