SOLUTION: Rationalize the denominator and simplify. {{{ (sqrt(5) + sqrt(2))/(sqrt(5)-sqrt(2)) }}}

Algebra ->  Rational-functions -> SOLUTION: Rationalize the denominator and simplify. {{{ (sqrt(5) + sqrt(2))/(sqrt(5)-sqrt(2)) }}}       Log On


   

Question 985782: Rationalize the denominator and simplify.
+%28sqrt%285%29+%2B+sqrt%282%29%29%2F%28sqrt%285%29-sqrt%282%29%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator and simplify.
(sqrt(5) + sqrt(2))/(sqrt(5)-sqrt(2))
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Multiply numerator and denominator by (sqrt(5)+sqrt(2))
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= [(sqrt(5)+sqrt(2))^2/(5-2)
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= [5+2+2sqrt(10)]/3
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= [7+2sqrt(10)]/3
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Cheers,
Stan H.
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