SOLUTION: (sqrt3/sqrt6 -1)-(sqrt3/sqrtg +1)

Question 204050This question is from textbook
: (sqrt3/sqrt6 -1)-(sqrt3/sqrtg +1) This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(sqrt3/sqrt(6) -1)-(sqrt3/sqrt(6) +1)
-------
lcd: (sqrt(6)-1)(sqrt(6)+1) = 6-1 = 5
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Write each fraction with the lcd as its denominator:
---
[sqrt(3)*(sqrt(6)+1)]/lcd - [sqrt(3)*(sqrt(6)-1)]/lcd
---
Combine the numerators over the lcd:
---
[sqrt(18)+sqrt(3)- sqrt(18)+sqrt(3)]/lcd
---
Simplify:
[2sqrt(3)]/5
======================
Cheers,
Stan H.
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