SOLUTION: The expression, radical 50 + 3 radical 2 can be written in the form x radical 2. Find x.

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Question 196632: The expression, radical 50 + 3 radical 2 can be written in the form x radical 2. Find x.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2850%29%2B3%2Asqrt%282%29 Start with the given expression


5%2Asqrt%282%29%2B3%2Asqrt%282%29 Simplify sqrt%2850%29 to get 5%2Asqrt%282%29.


%285%2B3%29sqrt%282%29 Factor out the GCF sqrt%282%29


8%2Asqrt%282%29 Combine like terms.


So sqrt%2850%29%2B3%2Asqrt%282%29 simplifies to 8%2Asqrt%282%29.


In other words, sqrt%2850%29%2B3%2Asqrt%282%29=8%2Asqrt%282%29


Since sqrt%2850%29%2B3%2Asqrt%282%29=x%2Asqrt%282%29, this means that x%2Asqrt%282%29=8%2Asqrt%282%29 which means that x=8