SOLUTION: (3 + sqrt24) / (6 sqrt8) A. (3 sqrt2 + 4 sqrt3) / 24 B. (1 + sqrt3) / 2 C. (3 + 8 sqrt3) / 6 D. -15 / (36 sqrt2 - 48 sqrt3) e. none of these

Algebra.Com
Question 936095: (3 + sqrt24) / (6 sqrt8)
A. (3 sqrt2 + 4 sqrt3) / 24
B. (1 + sqrt3) / 2
C. (3 + 8 sqrt3) / 6
D. -15 / (36 sqrt2 - 48 sqrt3)
e. none of these

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















Multiply top and bottom by to rationalize the denominator.


Distribute




















So,


Which means the answer is Choice A
------------------------------------------------------------------------------------------------------------------------

If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).

Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.

Jim
------------------------------------------------------------------------------------------------------------------------

RELATED QUESTIONS

Find the exact value of the trigonometric function at the given real number. A... (answered by Alan3354)
if {{{a=sqrt3-sqrt2/sqrt3+sqrt2 & b=sqrt3+sqrt2/sqrt3-sqrt2}}} "find the value of... (answered by tommyt3rd)
Hi, I have been agonizing over this one for more than an hour already, so I hope someone (answered by Alan3354,stanbon)
Find the exact value of sin(-pi/6) a. -1/2 d. -sqrt3/2 c. -sqrt2/2 d.... (answered by solver91311)
a pile of water pipes is stacked with 4 along bottom, then 3, the 2 then 1. (from the... (answered by KMST)
Find the exact solution(s) of the system: x^2/4 - y^2 = 1 and x = y^2 + 1 a. (4,... (answered by Fombitz)
(sqrt3 + 5)(sqrt3 -... (answered by checkley71)
Find the exact solution(s) of the system: x^2/4 - y^2 and x= y^2 + 1 a. (4, sqrt3)... (answered by Fombitz)
Sqrt3/sqrt2 - sqrt2/sqrt3.please... (answered by MathTherapy)