SOLUTION: I really need someone's help solving the following problem. Any assistance you can provide will be greatly appreciated. Thanks! (square root of 2 - 5)^2

Algebra ->  Radicals -> SOLUTION: I really need someone's help solving the following problem. Any assistance you can provide will be greatly appreciated. Thanks! (square root of 2 - 5)^2      Log On


   

Question 169973: I really need someone's help solving the following problem. Any assistance you can provide will be greatly appreciated. Thanks!
(square root of 2 - 5)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28sqrt%282%29-5%29%5E2 Start with the given expression.


%28sqrt%282%29-5%29%28sqrt%282%29-5%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28sqrt%282%29%29-5%29%28highlight%28sqrt%282%29%29-5%29 Multiply the First terms:%28sqrt%282%29%29%2A%28sqrt%282%29%29=sqrt%284%29=2.


%28highlight%28sqrt%282%29%29-5%29%28sqrt%282%29%2Bhighlight%28-5%29%29 Multiply the Outer terms:%28sqrt%282%29%29%2A%28-5%29=-5%2Asqrt%282%29.


%28sqrt%282%29%2Bhighlight%28-5%29%29%28highlight%28sqrt%282%29%29-5%29 Multiply the Inner terms:%28-5%29%2A%28sqrt%282%29%29=-5%2Asqrt%282%29.


%28sqrt%282%29%2Bhighlight%28-5%29%29%28sqrt%282%29%2Bhighlight%28-5%29%29 Multiply the Last terms:%28-5%29%2A%28-5%29=25.


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2-5%2Asqrt%282%29-5%2Asqrt%282%29%2B25 Now collect every term to make a single expression.


27-10%2Asqrt%282%29 Now combine like terms.


So %28sqrt%282%29-5%29%5E2 FOILs to 27-10%2Asqrt%282%29.


In other words, %28sqrt%282%29-5%29%5E2=27-10%2Asqrt%282%29.