Question

pls give step by step solution of square root 48.960​

Answer 1

HEY MATE HERE'S YOUR STEP BY STEP EXPLANATION OF ROOT....PLEASE MARK AS BRAINLIEST PLEASE....PLEASE MARK AS BRAINLIEST BEFORE VIEWING IT PLEASE.........

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, 48.9600

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 (66 < 48 < 77). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (48). Divide and get the remainder (12 in this case).

6

6   48.9600

− 36

12

2. Put the decimal point.

3.

Bring down the next pair 96. 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 129 × 9 = 1161, so we choose the new digit as 9. Get the remainder.

6.9

6   48.9600

+ 6  − 36

129   1296

− 1161

135

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 1389 × 9 = 12501, so we choose the new digit as 9. Get the remainder.

6.99

6   48.9600

+ 6  − 36

129   1296

+ 9  − 1161

1389   13500

− 12501

999

5.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. 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 13987 × 7 = 97909, so we choose the new digit as 7. Get the remainder.

6.997

6   48.960000

+ 6  − 36

129   1296

+ 9  − 1161

1389   13500

+ 9  − 12501

13987   99900

− 97909

1991

End of long division (upto 3 decimal places).

√48.960 = 6.997