Question

value of
$\sqrt{2}$
​

Answer 1

Answer:

the value of √2 is 1.4142.

Answer 2

Answer:

Division Method to Find the Value of Root 2

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 answer 1.

Step 4: Next carry 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 you are taken already, say 1, you will get 2 and write down the number in the divisor place opposite to 100. So, after number 2, you 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 the number 96 from 100 and write down the remainder.

Step 6: Now again carry 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.

So, the value of root 2 is equal to 1.414.

√2 = 1.414

With the help of the long division method, you will find the values of non-perfect square values like root 3, root 5 etc.