SOLUTION: Add. simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers. √7a+ 2√(175a^3)

Algebra ->  Radicals -> SOLUTION: Add. simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers. √7a+ 2√(175a^3)       Log On


   

Question 324333: Add. simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers. √7a+ 2√(175a^3)
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt{7a} + 2(sqrt{175a^3}) =
sqrt{7a} + 2*sqrt{25}*sqrt{7}*sqrt{a^2}*sqrt{a} =
sqrt{7a} + 10a*sqrt{7a}
Both radicals cannot be added because although both have the same radicand, one has 10a and the other does not.
Final answer: sqrt{7a} + 10a*sqrt{7a}