SOLUTION: Simplify by combining like terms. {{{sqrt(63)}}}- {{{2 sqrt 28}}} + {{{5 sqrt7}}} I needed to verify that my answer was correct for this problem. My answer was {{{sqrt (3^2)7

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify by combining like terms. {{{sqrt(63)}}}- {{{2 sqrt 28}}} + {{{5 sqrt7}}} I needed to verify that my answer was correct for this problem. My answer was {{{sqrt (3^2)7      Log On


   

Question 73351: Simplify by combining like terms.
sqrt%2863%29- 2+sqrt+28 + 5+sqrt7
I needed to verify that my answer was correct for this problem. My answer was
sqrt+%283%5E2%297 - 2+sqrt%282%5E2%297 + 5+sqrt7
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2863%29- 2+sqrt+28 + 5+sqrt7
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I don't know whether you have a formatting problem, but your answer contains errors.
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You have the right idea about factoring to find squares. Let's do it one term at a time.
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sqrt%2863%29+=+sqrt%289%2A7%29+=+sqrt%289%29%2A+sqrt%287%29+=+3%2Asqrt%287%29
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Now let's do the second term:
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The last term cannot be reduced. It remains 5%2Asqrt%287%29
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So we have reduced the whole expression to:
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3%2Asqrt%287%29+-+4%2Asqrt%287%29+%2B+5%2Asqrt%287%29
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Factor sqrt(7) which is common to these three terms to get:
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%283+-+4+%2B+5%29%2Asqrt%287%29
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Add the three terms in parentheses and the problem is reduced, combined, and simplified to:
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4%2Asqrt%287%29
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That's as far as you can go.
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Hope this helps you to get further along with combining radical terms. You were on the right
track of what to do. Use the above description to get some ideas of what to look for in
combining terms in a problem such as this.