Question

Using long division method find the square root of 126.7876. Solve it briefly.

Answer 1

Step-by-step explanation:

11.26

____________

11 |126.7876

+. 11

- 121

578

222. -444

+ 2 _____

13 476-13476=0

2246

Answer 2

The brief solution for the long division method to find the square root of 126.7876 is given below.

Given:

The number for which the square root is to be calculated = 126.7876.

To Find:

We have to find the square root of 126.7876 using the long division method.

Solution:

The long division method is a mathematical method for dividing large numbers by breaking down a problem into simple and easy steps.

The long division of 126.7876 can be carried out in the following steps.

• Place a bar over the pair of numbers of the dividend 126.7876, starting from the unit place as in the given figure.
• The largest number whose square is less than or equal to the number on the extreme left of the number is taken as the divisor. Here, 11 is taken as the divisor.
• The dividend (1) is divided and the quotient is written. Here, the quotient is 0 and the remainder is 1.
• The number to the right of the remainder is brought down. Here, in this case, we bring down 2. Now, 12 becomes the new dividend.
• This process is then continued, till the remainder obtained is 0 or less than the divisor.

The detailed steps in the long division of 126.7876 is as follows.

The square root of 126.7876 is given by,

$\sqrt{126.7876 } = 11.5261$

Hence, the square root of 126.7876 is 11.5261.

#SPJ2