SOLUTION: 3 times the square root of 50 minus 4 times the square root of 2

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Question 251768: 3 times the square root of 50 minus 4 times the square root of 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Asqrt%2850%29-4%2Asqrt%282%29 Start with the given expression


3%2A5%2Asqrt%282%29-4%2Asqrt%282%29 Simplify sqrt%2850%29 to get 5%2Asqrt%282%29. Note: If you need help with simplifying square roots, check out this solver.


3%2A5%2Asqrt%282%29-4%2Asqrt%282%29 Simplify sqrt%282%29 to get sqrt%282%29.


15%2Asqrt%282%29-4%2Asqrt%282%29 Multiply 3 and 5 to get 15.

Since we have the common term sqrt%282%29, we can combine like terms


%2815-4%29sqrt%282%29 Factor out the GCF sqrt%282%29


11%2Asqrt%282%29 Combine like terms.


So 3%2Asqrt%2850%29-4%2Asqrt%282%29 simplifies to 11%2Asqrt%282%29.


In other words, 3%2Asqrt%2850%29-4%2Asqrt%282%29=11%2Asqrt%282%29