SOLUTION: Simplify by combining like terms. square root of 63 - 2 square root of 28 + 5 square root of 7

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Question 118062: Simplify by combining like terms.
square root of 63 - 2 square root of 28 + 5 square root of 7


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29 Start with the given expression


3%2Asqrt%287%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29 Simplify sqrt%2863%29 to get 3%2Asqrt%287%29. Note: If you need help with simplifying square roots, check out this solver.


3%2Asqrt%287%29-2%2A2%2Asqrt%287%29%2B5%2Asqrt%287%29 Simplify sqrt%2828%29 to get 2%2Asqrt%287%29.



3%2Asqrt%287%29-4%2Asqrt%287%29%2B5%2Asqrt%287%29 Multiply 2 and 2 to get 4.

Since we have the common term sqrt%287%29, we can combine like terms

%283-4%2B5%29sqrt%287%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


4%2Asqrt%287%29 Now simplify 3-4%2B5 to get 4

So sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29 simplifies to 4%2Asqrt%287%29. In other words, sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29=4%2Asqrt%287%29