The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414.
|1.||What Is the Square Root of 2?|
|2.||Is Square Root of 2 Rational or Irrational?|
|3.||Important Notes on Square Root of 2|
The square root of 2 is "irrational" (cannot be written as a fraction) ... because if it could be written as a fraction then we would have the absurd case that the fraction would have even numbers at both top and bottom and so could always be simplified.
Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational. This proof can be generalized to show that any square root of any natural number that is not a perfect square is irrational.
In order to simplify a surd:
So to cancel time algebraic fraction what we're going to do is we're going to factorize theMoreSo to cancel time algebraic fraction what we're going to do is we're going to factorize the numerator. And factorize the denominator. If we can and then cancel down ok let's have a look at an example.
So for example if we had an x times it by an x. Times by another x in index. Form this would be x ^.MoreSo for example if we had an x times it by an x. Times by another x in index. Form this would be x ^.
And the radicand or the base has to be positive rational number it means that square root of 4 orMoreAnd the radicand or the base has to be positive rational number it means that square root of 4 or the cube root of 8 are not thirds as they result in rational.
A surd is an expression that includes a square root, cube root or other root symbol. Surds are used to write irrational numbers precisely – because the decimals of irrational numbers do not terminate or recur, they cannot be written exactly in decimal form.
pie is not a surd. though it is irrational but it is a non algebraic irrational number or transitional number. also it is no definite decimal value. therefore pie is not a surd.