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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
We can rewrite sqrt%2850%29
as 5sqrt%282%29

And sqrt%2832%29
as 4sqrt%282%29

And sqrt%288%29
as 2sqrt%282%29

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

11sqrt%282%29 + 2

Answer by checkley71(8403) About Me  (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.