If ‘x’ is an irrational number then x – 3 is … number.

Number which can’t be expressed in p/q form are… numbers.

The combination of Q and S is the set of …… numbers where S is the set of all irrational numbers.

$(2+\sqrt{2})(2-\sqrt{2})(2+\backslash sqrt\{2\})(2-\backslash sqrt\{2\})$ is a… number.

$\sqrt{\frac{a}{b}}\backslash sqrt\{\backslash frac\{a\}\{b\}\}$ =

$(\sqrt{a}+b)(\sqrt{a}-b)(\backslash sqrt\{a\}+b)(\backslash sqrt\{a\}-b)$ =

$(\sqrt{5}+\sqrt{2})(\sqrt{5}+\sqrt{2})(\backslash sqrt\{5\}+\backslash sqrt\{2\})(\backslash sqrt\{5\}+\backslash sqrt\{2\})$ = .........

$(7+\sqrt{2})(7-\sqrt{2})(7+\backslash sqrt\{2\})(7-\backslash sqrt\{2\})$ =

The rationalising factor of $\frac{1}{5\sqrt{2}}\backslash frac\{1\}\{5\backslash sqrt\{2\}\}$ is

The rationalising factor of $\frac{1}{\sqrt{27}}\backslash frac\{1\}\{\backslash sqrt\{27\}\}$ is