find the value of √2 with steps
Answers
Question : Find the value of √2 with step-by-step
Step-by-step explanation:
☆(Square Root Of 2)☆
Answer :
✷ The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414.
✷ This value is widely used in mathematics. Root 2 is an irrational number as it cannot be expressed as a fraction and has an infinite number of decimals.
☞ So, the exact value of the root of 2 cannot be determined.
✿ Root 2 Value
✷ The square root of 2 is the number which when multiplied with itself gives the result as 2.
✷ It is generally represented as √2 or 2½. The numerical value of square root 2 up to 50 decimal places is as follows:
☞ √2 = 1.41421356237309504880168872420969807856967187537694…
✷ At present, the root 2 value is computed to 10 trillion digits. For general use, its value is truncated and is used as 1.414 to make calculations easy.
☞ The fraction 99/70 is also sometimes used as the value of √2.
✿ How to Find Square Root 2
✷ To find the square root value of a number, we usually check if the number is a perfect square or not. It is easy to find the root of perfect squares, but for non-perfect squares, we have to use the long division method to find the root value.
✷ Numbers like 2, 3, 5, 20, etc. are non-perfect squares, but 4, 9, 25, etc. are perfect squares, which gives the whole number when we take the root of them.
✿ Value of Square Root of 2 by Long Division Method
✷ Now, how to find the square root of 2 by division method. The first thing that you can try is the popular division method. The steps involved in this method are:
Step 1: In this method, you have to make an estimate first, means you have chosen a close number by finding at-least two roots which are perfect. It has been those roots that your number is between those values.
Step 2: Then, you can divide the number by one of those square roots.
Step 3: Once you start and continue with the division process, you will need to take the average of the result of
- step 2 and the root. And finally, you can use the result that you get in
- step 3 to repeat the 2nd and 3rd step until you get a number that is satisfactory or accurate enough for you. The example is given below:
☆ How to Find Square Root of ✓2 ⬆️⬆️⬆️
