SOLUTION: The question is the{{{ sqrt( (4s^2)+(16t^2) ) }}}The answer is 2{{{ sqrt( (s^2)+(4t^2)) }}}. I don't understand why the 4 would be taken outside to become a 2 and why the 16 would

Algebra ->  Radicals -> SOLUTION: The question is the{{{ sqrt( (4s^2)+(16t^2) ) }}}The answer is 2{{{ sqrt( (s^2)+(4t^2)) }}}. I don't understand why the 4 would be taken outside to become a 2 and why the 16 would      Log On


   



Question 1007604: The question is the+sqrt%28+%284s%5E2%29%2B%2816t%5E2%29+%29+The answer is 2+sqrt%28+%28s%5E2%29%2B%284t%5E2%29%29+. I don't understand why the 4 would be taken outside to become a 2 and why the 16 would only reduce to 4. I thought that because 4 is 2 squared that you could take that out as well. Sorry If my thinking makes little sense. I have been really struggling with understanding this question. Thank you for any help you can give me.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The question is the+sqrt%28+%284s%5E2%29%2B%2816t%5E2%29+%29+
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Actually, that's not a question. It's just an expression.
If you want to simplify it:
----
+sqrt%284s%5E2+%2B+16t%5E2%29+=+sqrt%284%2A%28s%5E2+%2B+4t%5E2%29%29
= sqrt%284%29%2Asqrt%28s%5E2+%2B+4t%5E2%29%29
sqrt%284%29+=+2
= 2+sqrt%28+%28s%5E2%29%2B%284t%5E2%29%29+