Square root simplification: sqrt(8) + 3sqrt(2)

silverdragon316

Junior Member
Joined
Mar 16, 2007
Messages
76
This is my problem:
I am adding these two square roots.

sqrt(8) +3sqrt(2)=sqrt(4times 2)+3sqrt(2)
....................=sqrt(4times)sqrt(2)+3sqrt(2)
....................=2sqrt(2)+3sqrt(2)
....................=(2+3)sqrt(2)
....................=5sqrt(2)


Is this correct. If not where did I go wrong?
 
silverdragon316 said:
sqrt(8) + 3sqrt(2) = ...5sqrt(2)

Is this correct...?
Easy check (and helpful on tests): Plug "sqrt(8) + 3*sqrt(2)" into your calculator. Plug "5*sqrt(2)" into your calculator.

If you get the same result, you've got a valid simplification. :wink:

Eliz.
 
with what type of calculator? I only have a Ti-30x. And I don't know how to use it very well even with it's instructions.
 
Your calculator is an advanced scientific calculator: It has a square root button/function somewhere.

Look for the radical sign \(\displaystyle \HUGE \sqrt{x}\)
 
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