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Root 2 Value is the value of root 2 or the square root of 2 or sqrt 2 or √2 is 1.414. The square root of 2 or root 2 is represented using the square root symbol √ and will be mentioned as √2. It is an irrational number and cannot be represented in the form of \(\frac{x}{y}\) and just like the value of pi (π), it has infinite numbers after the decimal. Hence for the calculation, we use the approximate value of the square root 2. The square root is an inverse operation of the square. The exact value of root 2 cannot be determined.
Mathematics is an important subject which students generally find tough to crack. But with regular practice and reading, students can master the subject. Read this article to learn how to calculate square root of 2.
Any root value when multiplied by itself gives the number that is under the root symbol. For example, √5 x √5 = 5 or √44 x √44 = 44, similarly, √2 x √2 = 2. Some important points on the square root are given below:
Value of root 2 up to 50 decimal places
√2 = 1.41421356237309504880168872420969807856967187537694…
Students can easily find the value of sqrt of a number if that number is a perfect square. Example: The value of √4 is 2 as 4 is a perfect square of 2, and the value of √625 is 25 as 25 x 25 = 625. So, finding √ of a perfect square is easy.
The challenge is to find the square root of not perfect square numbers. For numbers that are not a perfect square, we use the long division method.
The long division method is the universal way to find out the root of any number irrespective of its type. Through this section we will explain the long division method in step by step:
Here are some questions that will aid students in their preparation:
| Q1. Explain how many square roots a positive number can have. How are these square roots different? |
| Q2. Which type of number has an exact square root? |
| Q3. Which type of number has an approximate square root? |
| Q4. How can we use perfect squares to estimate a square root, such as √8? |
| Q5. Which of the following is the square of an odd number? (a) 256 (b) 361 (c) 144 (d) 400 |
| Q6. Find the value of \(\sqrt({176} + \sqrt{2401})\). |
Ans: Square root 2 equals 1.414.
Ans: We have provided the detailed step-by-step process on this page. You can follow these steps to find the square root of any number.
Ans: Since √ 2 is not an integer, when we find the value of √ 2 the numbers after the decimal point tend to infinity, it is irrational.
Ans: The value of one by root 2 is 0.707.
Ans: Every number except 0 has two square roots, a positive and a negative.
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