SOLUTION: Simplify {{{2*sqrt(45)+6*sqrt(80)}}}

Algebra ->  Radicals -> SOLUTION: Simplify {{{2*sqrt(45)+6*sqrt(80)}}}      Log On


   

Question 126401: Simplify

2%2Asqrt%2845%29%2B6%2Asqrt%2880%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Asqrt%2845%29%2B6%2Asqrt%2880%29 Start with the given expression


2%2A3%2Asqrt%285%29%2B6%2Asqrt%2880%29 Simplify sqrt%2845%29 to get 3%2Asqrt%285%29. Note: If you need help with simplifying square roots, check out this solver.


2%2A3%2Asqrt%285%29%2B6%2A4%2Asqrt%285%29 Simplify sqrt%2880%29 to get 4%2Asqrt%285%29.


6%2Asqrt%285%29%2B6%2A4%2Asqrt%285%29 Multiply 2 and 3 to get 6.

6%2Asqrt%285%29%2B24%2Asqrt%285%29 Multiply 6 and 4 to get 24.

Since we have the common term sqrt%285%29, we can combine like terms

%286%2B24%29sqrt%285%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


30%2Asqrt%285%29 Now simplify 6%2B24 to get 30



----------------------------------
Answer:

So 2%2Asqrt%2845%29%2B6%2Asqrt%2880%29 simplifies to 30%2Asqrt%285%29.


In other words, 2%2Asqrt%2845%29%2B6%2Asqrt%2880%29=30%2Asqrt%285%29