SOLUTION: how do I simplify the following √(16x+32) + √(4x+8) Thank you

Algebra ->  Radicals -> SOLUTION: how do I simplify the following √(16x+32) + √(4x+8) Thank you      Log On


   

Question 75888: how do I simplify the following
√(16x+32) + √(4x+8)
Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
sqrt%2816x%2B32%29+%2B+sqrt%284x%2B8%29
:
Factor out 16 and 4 inside the radicals and you have:
sqrt%2816%28x%2B2%29%29+%2B+sqrt%284%28x%2B2%29%29
:
16 and 4 are both perfect squares so extract those from the radicals:
4sqrt%28x%2B2%29+%2B+2sqrt%28x%2B2%29
:
Both radical have like terms so just add them:
6sqrt%28x%2B2%29
:
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