Square Root 2 Value by Long Division Method
It is always easier to compute the square root of perfect squares. But to compute the square root of a non-perfect square, we need to perform the long division method.
To compute the square root of 2, we need to follow the steps given below:
Step 1: Write 2 as 2.000000 to make it easier to divide
Step 2: Now look for the perfect square less than 2 i.e. 1 and divide the number with it.
Step 3: Now the quotient and the remainder are 1. We will place a decimal in the quotient and bring down the pair of zeroes for further division.
Step 4: Now add the quotient with the existing divisor, this will become the digit at the tens place for our next divisor.
Step 5: For the unit’s place, we need to find a value that can be placed at the unit place of both quotient and the divisor such that the new divisor when multiplied with the unit digit of the quotient results in the highest number less than the remainder.
Now. bring down the next pair of zeros and repeat the steps 4th and 5th. This can be done for infinite steps as the exact value of the square root of 2 goes up to infinite decimal places.
We can compute the result up to 4 decimal places as that can be used for approx. value of the square root.
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Root 2 Value | How to Find the Square Root of 2?
Square root of 2 is represented as √2 or 2½. When multiplied by itself, √2 will result in the number 2. The value of the square root of 2 is 1.414.
Let’s learn the methods to find the square root of the 2 values in detail.
Table of Content
- Root 2 Value
- How to Find the Square Root of 2?
- Square Root 2 Value by Long Division Method
- Square Root 2 Value by Estimation Method
- Is Square Root of 2 Rational or Irrational?
- Root 2 Value Calculation- FAQs
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