SOLUTION: -4√112-3√128+3√63-2√7 simplify

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Question 289695: -4√112-3√128+3√63-2√7 simplify
Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
-4sqrt%28112%29-3sqrt%28128%29%2B3sqrt%2863%29-2sqrt%287%29
The primary part of simplifying expressions with square roots is to factor out perfect squares in each square root, if any:
-4sqrt%2816%2A7%29-3sqrt%2864%2A2%29%2B3sqrt%289%2A7%29-2sqrt%287%29
Then you use the property of radicals, root%28a%2C+x%2Ay%29+=+root%28a%2C+x%29%2Aroot%28a%2C+y%29, to separate the perfect square factors into their own square roots:

Now we can replace the square roots of the perfect squares:
-4%2A4%2Asqrt%287%29-3%2A8%2Asqrt%282%29%2B3%2A3%2Asqrt%287%29-2sqrt%287%29
which simplifies to:
-16sqrt%287%29-24sqrt%282%29%2B9sqrt%287%29-2sqrt%287%29
The first, third and fourth terms are like terms which we can add and subtract. This gives us:
-9sqrt%287%29-24sqrt%282%29
This is the simplified expression.