How do I rationalize the numerator in this expression?

[msimard8]

The question states

Rationalize each of the following numerators to obtain and equivalent expression.

(sqroot(h^2+5h+4) -2 ) / h

How do i rationalize the numerator here.

I don't remember

thanks

 

[arildno]

Expand your fraction with the conjugate of the numerator.

 

[msimard8]

thanks a million

i feel dumb

 

[msimard8]

actually I am not gettin the answer that matches the back

the ans in the back says

(h+5) / (sqroot(h^2+5h+4) +2)



i get like (h^2+5h -4) / h^2

 

[arildno]

Careful about that conjugate!
You are to multiply your fraction with:
$$1=\frac{\sqrt{h^{2}+5h+4}+2}{\sqrt{h^{2}+5h+4}+2}$$