SOLUTION: Help me solve this equation add and simplify: {{{8*sqrt(20) + 7*sqrt(125) }}}

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Question 387967: Help me solve this equation add and simplify: 8%2Asqrt%2820%29+%2B+7%2Asqrt%28125%29+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8%2Asqrt%2820%29+%2B+7%2Asqrt%28125%29+ Start with the given expression.


8%2Asqrt%284%2A5%29+%2B+7%2Asqrt%2825%2A5%29+ Factor the radicands


8%2Asqrt%284%29%2Asqrt%285%29+%2B+7%2Asqrt%2825%29%2Asqrt%285%29+ Break up the square roots


8%2A2%2Asqrt%285%29+%2B+7%2A5%2Asqrt%285%29+ Take the square root of 4 and 25 to get 2 and 5 respectively


16%2Asqrt%285%29+%2B+35%2Asqrt%285%29+ Multiply


%2816+%2B+35%29sqrt%285%29+ Factor out the GCF sqrt%285%29


51%2Asqrt%285%29+ Add


So 8%2Asqrt%2820%29+%2B+7%2Asqrt%28125%29+=+51%2Asqrt%285%29+


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim