Question

$\sqrt{2}$
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Answer 1

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The exact value of root 2- 1.41421356

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Answer 2

Step-by-step explanation:

Square Root Of 2

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.