SOLUTION: I need to know how to simplify the expression {{{3 sqrt 20 * 6 sqrt 5}}}. My teacher told me to do 18/100 and then 18*10, but I don't understand how that would work or why it would

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: I need to know how to simplify the expression {{{3 sqrt 20 * 6 sqrt 5}}}. My teacher told me to do 18/100 and then 18*10, but I don't understand how that would work or why it would      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 182229This question is from textbook Algebra 2
: I need to know how to simplify the expression 3+sqrt+20+%2A+6+sqrt+5. My teacher told me to do 18/100 and then 18*10, but I don't understand how that would work or why it would work. Maybe I misunderstood her?This question is from textbook Algebra 2

Answer by Alan3354(21610) About Me  (Show Source):
You can put this solution on YOUR website!
I need to know how to simplify the expression 3+sqrt+20+%2A+6+sqrt+5. My teacher told me to do 18/100 and then 18*10, but I don't understand how that would work or why it would work. Maybe I misunderstood her?
----------------
3+sqrt+20+%2A+6+sqrt+5
sqrt%2820%29+=+sqrt%284%29%2Asqrt%285%29+=+2sqrt%285%29
So it's:
6sqrt%285%29%2A2sqrt%285%29
= 36*5
= 180