The rationalization of the given expression will be equal to √x + √(x-1).
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, accumulation and division
The rationalization will be:-
[tex]=\dfrac{1}{\sqrt{x}-\sqrt{x-1}}[/tex]
[tex]=\dfrac{1}{\sqrt{x}-\sqrt{x-1}}\times \dfrac{\sqrt{x}+\sqrt{x-1}}{\sqrt{x}+\sqrt{x-1}}[/tex]
[tex]=\dfrac{\sqrt{x}+\sqrt{x-1}}{\sqrt{(x^2)}-\sqrt{x-1)^2}}[/tex]
[tex]=\dfrac{\sqrt{x}+\sqrt{x-1}}{{(x)}-{x-1)}}[/tex]
[tex]={\sqrt{x}+\sqrt{x-1}[/tex]
Therefore the rationalization of the given expression will be equal to √x + √(x-1).
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