SOLUTION: Add or subtract as indicated 5√75x³ + √3x thanks for your help. I don't know what to do here.

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Question 29889: Add or subtract as indicated
5√75x³ + √3x
thanks for your help. I don't know what to do here.

Found 2 solutions by Cintchr, sdmmadam@yahoo.com:
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming that the 5 is being multiplied by the root, and we are not looing for the 5th root here.
+5%28sqrt%2875x%5E3%29%29+%2B+sqrt%283x%29+ work +sqrt%2875x%5E3%29+ first
+sqrt%2875x%5E3%29+
+sqrt%285%2A5%2A3%2Ax%2Ax%2Ax%29+ taking pieces out in pairs ...
+%285x%29%28sqrt%283x%29%29+
+5%285x%29%28sqrt%283x%29%29+%2B+1%28sqrt%283x%29%29+ multiply
+25x%28sqrt%283x%29%29+%2B+1%28sqrt%283x%29%29+ add
+26x%28sqrt%283x%29%29+

Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
5√75x³ + √3x ----(1)
75 = 5X5X3 = (5^2)X3
sqrt(75) =sqrt[(5^2)X3] = sqrt[(5^2)]X sqrt(3) = 5√3
√x³ = sqrt[(x^2)(x)] = sqrt[(x^2)]sqrt(x)= x√x
√75x³ = (√75)(√x³)=(5√3)(x√x)=5x√(3x) ----(*)
Therefore
5√75x³ + √3x using (*)
= 5X[5x√(3x)] + √(3x)
=25xt +t Where t = √(3x)
=(25x+1)t
=(25x+1)√(3x)