Respuesta :

Answer:

Step-by-step explanation:

yes.  

Assume you have the function:

[tex]f(x)=\frac{1}{\sqrt{x} }[/tex]

Then in order to rationalize the denominator, you'd multiply the whole function by 1:

[tex]f(x)=\frac{1}{\sqrt{x} } *\frac{\sqrt{x} }{\sqrt{x} } =\frac{\sqrt{x} }{x\\}[/tex]

check the links in the comments above, notice on all those links, we multiply top and bottom always by the same value, it being the conjugate pair or just a rational or something else, is the same value atop and below.

now, what is same over same?

[tex]\bf \cfrac{same}{same}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{\textit{frying pan}}{\textit{frying pan}} \\\\\\ \cfrac{\sqrt{3x^3-y^4}}{\sqrt{3x^3-y^4}}\implies \cfrac{\log_5(z^e)}{\log_5(z^e)}\implies \boxed{1}[/tex]

so you see, we're really always multiplying the fraction by 1, so its top and bottom are just 1 in disguise.

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