SOLUTION: Rationalize the denominator: {{{5/(sqrt(3)+sqrt(5))}}}

Algebra.Com
Question 147682: Rationalize the denominator:


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Multiply both the numerator and denominator by the conjugate of the denominator .


Combine the fractions.


Foil the denominator.


Combine like terms.


Distribute.


So simplifies to


In other words,

RELATED QUESTIONS

Rationalize the denominator:... (answered by Earlsdon)
Rationalize the denominator. Sqrt(3)+5\sqrt(12) (answered by fcabanski)
Rationalize the denominator {{{sqrt(5/(8x))}}}... (answered by Fombitz,Edwin McCravy)
rationalize the denominator 5 ____ sqrt 2... (answered by nyc_function,pjbcnm)
Rationalize the denominator.... (answered by nshah11)
Rationalize the denominator.... (answered by Alan3354,Godslove18)
Rationalize the denominator and symplify... (answered by MathLover1)
Rationalize the denominator 3 / 9- sqrt(5) Thanks in... (answered by tommyt3rd)
rationalize the denominator {{{sqrt(5x)/sqrt(y)}}} and... (answered by Nate)