SOLUTION: Simplify √28+√343 in the form k√ 7 where k is an integer can u please help me with this problem

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Question 303451: Simplify √28+√343 in the form k√ 7 where k is an integer
can u please help me with this problem


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2828%29%2Bsqrt%28343%29 Start with the given expression


2%2Asqrt%287%29%2Bsqrt%28343%29 Simplify sqrt%2828%29 to get 2%2Asqrt%287%29.


2%2Asqrt%287%29%2B7%2Asqrt%287%29 Simplify sqrt%28343%29 to get 7%2Asqrt%287%29.


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


%282%2B7%29sqrt%287%29 Factor out the GCF sqrt%287%29


9%2Asqrt%287%29 Combine like terms.


So sqrt%2828%29%2Bsqrt%28343%29 simplifies to 9%2Asqrt%287%29.


In other words, sqrt%2828%29%2Bsqrt%28343%29=9%2Asqrt%287%29