surd
Irrational numbers can be roots because they are solutions to certain mathematical equations. For example, the square root of 2 is an irrational number that is a solution to the equation x^2 = 2. Similarly, other irrational numbers can be roots of different equations depending on their mathematical properties.
There is no simple factorisation because the quadratic expression does not have rational roots. Irrational roots are not used in factorisation.
A rational expression is an expression that includes only additions, subtractions, multiplications and divisions. Some of the things that will make an expression irrational (not rational) are square roots, higher-level roots, non-integer powers, exponentials (powers in which the variable expression occurs in the exponent), and common functions such as logarithms or trigonometric functions.
No.
Yes
an alg expression involving square roots, cube roots, etc
Surd
Irrational numbers can be roots because they are solutions to certain mathematical equations. For example, the square root of 2 is an irrational number that is a solution to the equation x^2 = 2. Similarly, other irrational numbers can be roots of different equations depending on their mathematical properties.
surds:- if this is for the Mail on Sunday GK crossword YES IT IS
All irrational numbers are non-recurring. If a number is recurring, it is rational. Examples of irrational numbers include the square root of 2, most square roots, most cubic roots, most 4th. roots, etc., pi, e, and most calculations involving irrational numbers.
There is no simple factorisation because the quadratic expression does not have rational roots. Irrational roots are not used in factorisation.
A rational expression is an expression that includes only additions, subtractions, multiplications and divisions. Some of the things that will make an expression irrational (not rational) are square roots, higher-level roots, non-integer powers, exponentials (powers in which the variable expression occurs in the exponent), and common functions such as logarithms or trigonometric functions.
Rational zero test cannot be used to find irrational roots as well as rational roots.
The square roots are irrational.
No.
Yes
Not always. For example: sqrt(2)+(-sqrt(2))=0 which is not irrational.