SOLUTION: Rationalize the denominator of each expression. [] means square root.. thanks you. [7x / [3] 3[x^2] /2[4]

Algebra ->  Rational-functions -> SOLUTION: Rationalize the denominator of each expression. [] means square root.. thanks you. [7x / [3] 3[x^2] /2[4]      Log On


   



Question 181310: Rationalize the denominator of each expression. [] means square root.. thanks you.

[7x / [3]



3[x^2] /2[4]

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I think you mean:



Rationalize the denominator means to take whatever action required so that the denominator of the fraction is a rational number. In this case, multiplication of the denominator by will do the trick nicely. However, you can't just multiply the denominator by something other than 1 and still have the same value for the fraction overall. The only thing you can multiply the whole fraction by is something that has a value of 1. In this case, it will be convenient to multiply the entire fraction by , thus:



Your second problem is trivial because both of the radicands are perfect squares, meaning the square roots are rational.



John