Rationalize the denominator

[sassyone]

Can you help me solve this I have came up with a couple of answers but it doesn't look right?

______M_______
square root of m + n - 5

m/(m+n) 1/2 - 5

m/m 1/2 + n 1/2 - 5


I'm I doing this right that is what I came up with so far. Thanks for any help.

 

[Deleted member 4993]

Can you help me solve this I have came up with a couple of answers but it doesn't look right?

______M_______
square root of m + n - 5

m/(m+n) 1/2 - 5

m/m 1/2 + n 1/2 - 5 <<< this is incorrect. You cannot expand (m+n)[sup:2poqweu4]1/2[/sup:2poqweu4] that way.


I'm I doing this right that is what I came up with so far. Thanks for any help.

Does your problem look like:

\(\displaystyle \frac{m}{{\sqrt{m+n}} \, - \, 5}\)

If it does then you should have written it as:

m/[(m+n)^(1/2)-5]

to rationalize it, you have multiply numerator and denominator with the "conjugate" of the denominator.

What is the conjugate of your denominator?