SOLUTION: 3 square root a-2= square root 8a+1

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Question 27252: 3 square root a-2= square root 8a+1
Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to assume you mean 3sqrt%28a-2%29=sqrt%288a%2B1%29 If you meant 3sqrt%28a%29-2=sqrt%288a%29%2B1 or something else then you'll have to try asking again.
You want to first square both sides (the inverse equation of squaring...) This gives us:
9%28a-2%29=%288a%2B1%29
Now we can distribute on the right:
9a-18=8a%2B1
Rearranging gives us:
a=19
Double checking:
3%2Asqrt%28a-2%29=sqrt%288a%2B1%29
3%2Asqrt%2819-2%29=sqrt%288%2A19%2B1%29
3sqrt%2817%29=sqrt%28153%29
3sqrt%2817%29=sqrt%289%2A17%29
3sqrt%2817%29=3sqrt%2817%29 Check.