SOLUTION: can you please explain this to me? Perform the indicated operations the square root [50] + 2the square root [32] - the square root [8] thank you julie

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Question 117970: can you please explain this to me?
Perform the indicated operations
the square root [50] + 2the square root [32] - the square root [8]
thank you
julie

Found 2 solutions by BrittanyM, checkley71:
Answer by BrittanyM(80)   (Show Source): You can put this solution on YOUR website!
We can rewrite
as

And
as

And
as

And since all of these have a common root (except for the + 2, which we will include as a different term), they can be combined.
Our final answer is

+ 2

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
SQRT50=SQRT(25*2)=5SQRT2
2SQRT32=2SQRT(16*2)=2*4SQRT2=8SQRT2
SQRT8=SQRT(482)=2SQRT2
NOW WE COMBINE THESE TERMS:
5SQRT2+8SQRT2-2SQRT2=11SQRT2 ANSWER.

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