SOLUTION: How would I simplify this expression (10-√5 )(10+√5)?

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Question 945507: How would I simplify this expression (10-√5 )(10+√5)?
Found 3 solutions by Alan3354, KMST, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Simple is a relative term.
What a math teacher would want you to do is rationalize.
Rationalize means convert that expression into an equivalent expression that does not have any irrational number (square root or the like) in the denominator.
To do that you use the "conjugate" of the denominator,
a factor that multiplied times the denominator gives ypu a nice rational number.
Since %2810%2Bsqrt%285%29%29%2A%2810-sqrt%285%29%29=10%5E2-%28sqrt%285%29%29%5E2=100-5=95 ,
you multiply numerator and denominator times %2810-sqrt%285%29%29 .

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How would I simplify this expression (10-√5 )(10+√5)?
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