SOLUTION: Please help me with symplifying this question. 4 to the square root of 20 minus 3 to the square root of 5.

Algebra ->  Radicals -> SOLUTION: Please help me with symplifying this question. 4 to the square root of 20 minus 3 to the square root of 5.      Log On


   

Question 196838: Please help me with symplifying this question.
4 to the square root of 20 minus 3 to the square root of 5.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%2Asqrt%2820%29-3%2Asqrt%285%29 Start with the given expression


4%2A2%2Asqrt%285%29-3%2Asqrt%285%29 Simplify sqrt%2820%29 to get 2%2Asqrt%285%29.


8%2Asqrt%285%29-3%2Asqrt%285%29 Multiply 4 and 2 to get 8.


%288-3%29sqrt%285%29 Factor out the GCF sqrt%285%29


5%2Asqrt%285%29 Combine like terms.


So 4%2Asqrt%2820%29-3%2Asqrt%285%29 simplifies to 5%2Asqrt%285%29.


In other words, 4%2Asqrt%2820%29-3%2Asqrt%285%29=5%2Asqrt%285%29