Answer:
Step-by-step explanation:
Data given in the question:
[tex]2/\sqrt{x-12}[/tex]
Task is to rationalize the expression.
Solution:-
To rationalize the denominator we have to multiply the numerator and denominator by the root of the denominator.
[tex]=>2/\sqrt{x-12}[/tex]
root of [tex]\sqrt{x-12}[/tex] is [tex]\sqrt{x-12}[/tex]
Multiplying the Nr and Dr by the root.
[tex]=>(2/\sqrt{x-12}) *(\sqrt{x-12}/\sqrt{x-12})[/tex]
[tex]=>2\sqrt{x-12}/(\sqrt{x-12}*\sqrt{x-12})\\=>2\sqrt{x-12}/x-12[/tex]
