SOLUTION: simplify {{{(sqrt 3x)+ (sqrt x^3)}}} note-while simplifying, show clearly and explain how to simplify the square root of variable. i.e sqr rt of 3x and x^3

Algebra ->  Exponents -> SOLUTION: simplify {{{(sqrt 3x)+ (sqrt x^3)}}} note-while simplifying, show clearly and explain how to simplify the square root of variable. i.e sqr rt of 3x and x^3      Log On


   

Question 664981: simplify
%28sqrt+3x%29%2B+%28sqrt+x%5E3%29

note-while simplifying, show clearly and explain how to simplify the square root of variable. i.e sqr rt of 3x and x^3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt+%283x%29%2B+sqrt+%28x%5E3%29....write sqrt+%283x%29 as a product sqrt+%283%29%2Asqrt%28x%29 and sqrt+%28x%5E3%29 as a sqrt+%28x%5E2%2Ax%29


sqrt+%283%29%2Asqrt%28x%29%2B+sqrt+%28x%5E2%2Ax%29.............sqrt+%28x%5E2%2Ax%29=x%2Asqrt%28x%29

sqrt+%283%29%2Asqrt%28x%29%2B+x%2Asqrt+%28x%29................factor out sqrt%28x%29

sqrt%28x%29%28sqrt+%283%29%2B+x%29