SOLUTION: sqrt(54)- sqrt(6)+sqrt(96)

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Question 390371: sqrt(54)- sqrt(6)+sqrt(96)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2854%29-sqrt%286%29%2Bsqrt%2896%29 Start with the given expression


3%2Asqrt%286%29-sqrt%286%29%2Bsqrt%2896%29 Simplify sqrt%2854%29 to get 3%2Asqrt%286%29. Note: If you need help with simplifying square roots, check out this solver.


3%2Asqrt%286%29-sqrt%286%29%2B4%2Asqrt%286%29 Simplify sqrt%2896%29 to get 4%2Asqrt%286%29.


Since we have the common term sqrt%286%29, we can combine like terms


%283-1%2B4%29sqrt%286%29 Factor out the GCF sqrt%286%29


6%2Asqrt%286%29 Combine like terms.


So sqrt%2854%29-sqrt%286%29%2Bsqrt%2896%29 simplifies to 6%2Asqrt%286%29.


In other words, sqrt%2854%29-sqrt%286%29%2Bsqrt%2896%29=6%2Asqrt%286%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(54)- sqrt(6)+sqrt(96)
-----
sqrt(9*6) - sqrt(6) + sqrt(16*6)
----
= 3sqrt(6) - sqrt(6) + 4sqrt(6)
---
= 6sqrt(6)
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Cheers,
Stan H.
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