Question

$\sqrt{2}$
​

Answer 1

Step-by-step explanation:

√2=1.414

this is your answer

Answer 2

The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 21⁄2, is the positive algebraic number that, when multiplied by itself, gives the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property.

Geometrically the square root of 2 is the length of a diagonal across a square with sides of one unit of length; this follows from the Pythagorean theorem. It was probably the first number known to be irrational.

As a good rational approximation for the square root of two, with a reasonable small denominator, the fraction

99

/

70

(≈ 1.4142857) is sometimes used.

The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places:

1.41421356237309504880168872420969807856967187537694807317667973799...

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