To find the square root of 2, we need to determine the number which, when multiplied by itself, equals 2. Let's denote this number as [tex]\( x \)[/tex].
In other words, we need to solve [tex]\( x \times x = 2 \)[/tex] or [tex]\( x^2 = 2 \)[/tex].
By definition, the square root of a number [tex]\( n \)[/tex] is a value that, when squared, gives [tex]\( n \)[/tex]. Therefore, the square root of 2 is denoted as [tex]\( \sqrt{2} \)[/tex].
To provide the numerical value of [tex]\( \sqrt{2} \)[/tex], we approximate this value through various mathematical methods such as iteration or approximation techniques. The value of [tex]\( \sqrt{2} \)[/tex] is approximately:
[tex]\[ \sqrt{2} \approx 1.4142135623730951 \][/tex]
This means that when you square 1.4142135623730951, the result will be very close to 2.
Therefore, the square root of 2 is:
[tex]\[ \sqrt{2} = 1.4142135623730951 \][/tex]
This precise value is widely used in mathematics and various applications requiring square root calculations.
