Question

if x = (? 6- ? 5)( ? 6 + ? 5)
then what type of number is X rational irrational or an integer

Answer 1

Dear student
$$\begin{gathered} \mathrm{Assuming}\mathrm{x}=\left(\sqrt{6}-\sqrt{5}\right)\left(\sqrt{6}+\sqrt{5}\right) \\ ={\left(\sqrt{6}\right)}^2-{\left(\sqrt{5}\right)}^2\left[\mathbf{\because }{\mathbf{a}}^{\mathbf{2}}\mathbf{-}{\mathbf{b}}^{\mathbf{2}}\mathbf{=}\mathbf{(}\mathbf{a}\mathbf{-}\mathbf{b}\mathbf{)}\mathbf{(}\mathbf{a}\mathbf{+}\mathbf{b}\mathbf{)}\right] \\ =6-5 \\ =1\mathrm{is}\mathrm{an}\mathrm{integer} \end{gathered}$$
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