Why the Square root of 2 value is 1414?

Answer 1

The square root of two isn't exactly 1.414. It's a number whose decimal representation never ends. Its first few digits are 1.414.

The definition of a square root of 2 is a number that you can multiply by itself to get 2.

If you multiply 1.414 by itself you get 1.999396 which is almost equal to 2. As you add more digits to 1.414 and then multiply it by itself, you get closer and closer to 2.

When you multiply 1.414 by itself, the answer is closer to 2 than when you multiply any other 4 digit number by itself.

Answer 2

That's rounded off, but if you only go to three decimal places, 1.414 x 1.414 is the closest you can get to 2.