SOLUTION: Hi, I am so lost in my math class... 48x^3 under the radical sign + x (outside of radical) 147x under the radical sign. I have been trying this problem for quite a while.

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Question 60375: Hi, I am so lost in my math class...
48x^3 under the radical sign + x (outside of radical) 147x under the radical sign.
I have been trying this problem for quite a while.
I am thinking I need to break it up: 8 under radical + 6 under radical.
But since none of those goes into 147 evenly, I am stuck.
Any help would be appreciated! Thanks.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
48x^3 under the radical sign + x (outside of radical) 147x under the radical sign
:
Assume you mean:
SqRt(48x^3) + x*SqRt(147x)
:
Factor to find the squares:
SqRt(16*3*x^2*x) + x*SqRt(49*3*x);
:
Extract the squares and you have:
4x*SqRt(3x) + 7x*SqRt(3x)
:
We got SqRt(3) in both expressions so we can add them just like numbers:
4x*SqRt(3x) + 7x*SqRt(3x) = 11x*SqRt(3x)
:
Did this make sense to you??