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Here's my problems:

How might you "rationalize the denominator" if the expression is [tex]\frac{1}{2+7√2+5√3}[/tex] or [tex]\frac{1}{\sqrt[3]{2}+1}[/tex]?

I know that in typical problems where we rationalize the denominator, we simply have to multiply the denominator and numerator by the conjugate of the denominator. For example, if the denominator were 2+√5, I'd simply multiply the top and bottom by 2-√5.

I haven't been in any math classes for two years, and I'm taking my final math course, and I simply don't remember how to do things like this! I'm not looking for someone to solve the whole thing, but I need suggestions or ideas on how I can solve these problems... Thank you so much for your help in advance!

How might you "rationalize the denominator" if the expression is [tex]\frac{1}{2+7√2+5√3}[/tex] or [tex]\frac{1}{\sqrt[3]{2}+1}[/tex]?

I know that in typical problems where we rationalize the denominator, we simply have to multiply the denominator and numerator by the conjugate of the denominator. For example, if the denominator were 2+√5, I'd simply multiply the top and bottom by 2-√5.

I haven't been in any math classes for two years, and I'm taking my final math course, and I simply don't remember how to do things like this! I'm not looking for someone to solve the whole thing, but I need suggestions or ideas on how I can solve these problems... Thank you so much for your help in advance!

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