SOLUTION: square root of 6(square root of 10 + square root of 15) I am trying to re-learn algebra to help my daughter. I haven't done this in 23 years. Please show me the steps to doing t

Algebra ->  Radicals -> SOLUTION: square root of 6(square root of 10 + square root of 15) I am trying to re-learn algebra to help my daughter. I haven't done this in 23 years. Please show me the steps to doing t      Log On


   

Question 34274This question is from textbook practice workbook Algebra 1
: square root of 6(square root of 10 + square root of 15)
I am trying to re-learn algebra to help my daughter. I haven't done this in 23 years. Please show me the steps to doing this so I can try to explain it to her. This question is from textbook practice workbook Algebra 1

Answer by fanism(39) About Me  (Show Source):
You can put this solution on YOUR website!
I believe you are talking about this, correct?
sqrt%286%29+%2A+%28sqrt%2810%29+%2B+sqrt%2815%29%29+
sqrt%286%29 can be written as sqrt%282%29%2Asqrt%283%29
and so do
sqrt%2810%29 = sqrt%282%29%2Asqrt%285%29
sqrt%2815%29 = sqrt%283%29%2Asqrt%285%29
after factorizing, you will have

By factorizing the common terms,
sqrt%282%29%2Asqrt%283%29%2Asqrt%285%29%2A%28sqrt%282%29+%2B+sqrt%283%29%29
= sqrt%2830%29%2A%28sqrt%282%29+%2B+sqrt%283%29%29