SOLUTION: Rationalize the denominator: 7/√[3] – √[2]

Algebra.Com
Question 167726: Rationalize the denominator:
7/√[3] – √[2]

Found 3 solutions by nerdybill, CeCe_101, jim_thompson5910:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Not clear whether you mean:

Or

.
I'll assume the later...
.






Answer by CeCe_101(1)   (Show Source): You can put this solution on YOUR website!
10.71014209
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Multiply both numerator and denominator by the conjugate of the denominator


Combine the fractions.



FOIL (hint: use the difference of squares)


Square each value


Combine like terms.


Simplify


Distribute


So

RELATED QUESTIONS

Rationalize the denominator: 2 / √[3] + √[2] (answered by malakumar_kos@yahoo.com)
Rationalize the denominator: 2 divided by √[3] + √[2] (answered by stanbon)
6. Rationalize the denominator: 2____ √[3] + √[2] (answered by jim_thompson5910)
Rationalize the denominator: 2____ √[3] + √[2] (answered by jim_thompson5910)
Rationalize the denominator: 2____ √[3] + √[2] (answered by vleith)
Rationalize the denominator ______2____ √[3] + √[2] (answered by jsmallt9)
Rationalize the denominator: 5____ √[3] + √[5] (answered by MathLover1)
Rationalize the denominator: 3____ √[6] – √[3] (answered by Alan3354)
Rationalize the denominator: 2 ______________ √[6] – √[5] (answered by stanbon)