SOLUTION: Please walk me through each step in solving this problem: Square root of 25x - 25 minus square root of 9x-9. (Sorry, I cannot product the square root symbol). They say the ans

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Question 200827: Please walk me through each step in solving this problem:
Square root of 25x - 25 minus square root of 9x-9. (Sorry, I cannot product the square root symbol). They say the answer is 2times square root of x-1

Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Factor out the GCF 25 from the first radicand


Factor out the GCF 9 from the second radicand


Break up the roots using the identity


Take the square root of 25 to get 5


Take the square root of 9 to get 3


Factor out the GCF


Combine like terms.



So where

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
sqrt(25x-25)-sqrt(9x-9)
sqrt25(x-1)-sqrt9(x-1)
5sqrt(x-1)-3sqrt(x-1)
5-3sqrt(x-1)
2sqrt(x-1)

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