how to find square root of 150.3076 , I know the answer but I need explanation on how to find it (please answer how to find it I will mark u as brainliest)
Answers
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, 0150.3076
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 = 1). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (01). Divide and get the remainder (0 in this case).
2:Bring down the next pair 50. 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 22 × 2 = 44, so we choose the new digit as 2. Get the remainder.
3:Put the decimal point.
4:Bring down the next pair 30. 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 242 × 2 = 484, so we choose the new digit as 2. Get the remainder
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 2446 × 6 = 14676, so we choose the new digit as 6. Get the remainder.