SOLUTION: {{{sqrt (x^3-x^2) }}} + {{{sqrt (9x-9) }}} Can you please help me simplify this by combining like radical terms, if possible. I am just confused about how to start the equation.

Algebra ->  Rational-functions -> SOLUTION: {{{sqrt (x^3-x^2) }}} + {{{sqrt (9x-9) }}} Can you please help me simplify this by combining like radical terms, if possible. I am just confused about how to start the equation.      Log On


   

Question 76807This question is from textbook Elementary and Intermediate Algebra
: sqrt+%28x%5E3-x%5E2%29+ + sqrt+%289x-9%29+
Can you please help me simplify this by combining like radical terms, if possible. I am just confused about how to start the equation. I think I get the second part of the equation, but the first part is confusing to me. Could you please explain it all to me? Thank you. This question is from textbook Elementary and Intermediate Algebra

Found 2 solutions by funmath, dkspoet:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt+%28x%5E3-x%5E2%29+ + sqrt+%289x-9%29+
sqrt%28x%5E2%28x-1%29%29%2Bsqrt%289%28x-1%29%29
sqrt%28x%5E2%29%2Asqrt%28x-1%29%2Bsqrt%289%29%2Asqrt%28x-1%29
x%2Asqrt%28x-1%29%2B3sqrt%28x-1%29
These aren't really like terms, so you can't combine them, but you could factor a little. I'm not sure if that's what you want.
%28x%2B3%29sqrt%28x-1%29
Happy Calculating!!!!

Answer by dkspoet(13) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt+%28x%5E3-x%5E2%29+ + sqrt+%289x-9%29+
= {sqrt (x^2*(x-1)) } + {sqrt (3^2*(x-1)) }
= |x|*{sqrt (x-1)}+ 3*{sqrt(x-1)}
= {|x|+3}*{sqrt (x-1) }