SOLUTION: SQRT 2 + SQRT 6 divided by SQRT 8 + SQRT 6
Algebra.Com
Question 288904: SQRT 2 + SQRT 6 divided by SQRT 8 + SQRT 6
Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(SQRT 2 + SQRT 6) divided by (SQRT 8 + SQRT 6)
----------------------
Multiply numerator and denominator by sqrt(8)-sqrt(6) to get:
----
[(sqrt(2)+sqrt(6))(sqrt(8)-sqrt(6)] / [8-6]
----
Use FOIL on the numerator:
----
[sqrt(16) -sqrt(12)+sqrt(48) - 6]/2
-----
Simplify:
---
[4 - 2sqrt(3) + 4sqrt(3) -6]/2
---
= [2sqrt(3)-2]/2
---
= sqrt(3)-1
==================
Cheers,
Stan H.
==================
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
SQRT 2 + SQRT 6 divided by SQRT 8 + SQRT6
sqrt2 +sqrt 2*3 / 2sqrt2 + sqrt 2*3
sqrt2(1+sqrt3) / sqrt2(2+sqrt3)
1+sqrt3 / 2+sqrt3
RELATED QUESTIONS
sqrt 18+ sqrt 24 divided by sqrt... (answered by Tatiana_Stebko,Alan3354)
sqrt 2 divided by 4 minus sqrt... (answered by edjones)
rationalize the denominator:
sqrt 2 divided by sqrt 6 - sqrt... (answered by jim_thompson5910)
What is product of... (answered by stanbon)
{{{ 6*sqrt( 2 )/ sqrt( 21... (answered by ankor@dixie-net.com)
sqrt () 18/ sqrt ()8 - sqrt 2
a) 9 sqrt () 2/6
b) 3 sqrt () 2
c) sqrt () 3... (answered by rapaljer)
Simplify: 2 sqrt (3) + 6 sqrt(2) - 4 sqrt(3) + sqrt (2)
a) 8 sqrt(2) - 3 sqrt(3)
b) 6 (answered by Fombitz)
sqrt 21 / sqrt... (answered by stanbon,jim_thompson5910)
sqrt(3+sqrt(2)) + sqrt(3-sqrt(2)) =
answer is... (answered by Theo)