SOLUTION: Can you please help me? the square root of 5 -3 times the square root of 20+ the square root of 45. Thanks a lot!

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Question 117926: Can you please help me?
the square root of 5 -3 times the square root of 20+ the square root of 45.
Thanks a lot!
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285%29+-3%2Asqrt%2820%29%2Bsqrt%2845%29 Start with the given expression


sqrt%285%29-3%2A2%2Asqrt%285%29%2Bsqrt%2845%29 Simplify sqrt%2820%29 to get 2%2Asqrt%285%29. Note: If you need help with simplifying square roots, check out this solver.


sqrt%285%29-3%2A2%2Asqrt%285%29%2B3%2Asqrt%285%29 Simplify sqrt%2845%29 to get 3%2Asqrt%285%29.


sqrt%285%29-6%2Asqrt%285%29%2B3%2Asqrt%285%29 Multiply 3 and 2 to get 6.

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

%281-6%2B3%29sqrt%285%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


-2%2Asqrt%285%29

So sqrt%285%29+-3%2Asqrt%2820%29%2Bsqrt%2845%29 simplifies to -2%2Asqrt%285%29. In other words, sqrt%285%29+-3%2Asqrt%2820%29%2Bsqrt%2845%29=-2%2Asqrt%285%29