Question

find the value of ✓2 by using long division method​

Answer 1

By using the long division method, it is possible to find the value of square roots of any number. The steps for finding the value of root 2 is given below:

Step 1: The number 2 can be written as 2.000000, i.e., 2 = 2.000000

Step 2: Take the perfect square which is below 2. So the perfect square below 2 is 1.

Step 3: Write the number 1 in both divisor and quotient place and subtract 1 from 2, you will get the remainder 1.

Step 4: Next write down two zeros and write down after 1 and take the decimal point after 1 in the quotient.

Step 5: Now add the divisor part with the same number that we have taken already, .i.e. 1, we will get 2 and write down the number in the divisor place opposite to 100. So, after number 2, we have to take the number and the same number has to be taken in the quotient place also. So, when you take the number 4 after 2 and the same number has to be written in the quotient. Because when you multiply 24 with 4, you get 96 which is closer to the number 100. Finally, subtract 96 from 100 and write down the remainder.

Step 6: Now again write down two zero’s and repeat step 5.

Step 7: Finally, you get the quotient value as 1.41421 which is approximately equal to 1.414.

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