How do you divide and rationalize the denominator for $(x-1)/(sqrt(3x)+sqrt5)$ ?

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Answer 1 · 2015-03-31T22:45:19

Multiply the numerator and denominator by the conjugate of the denominator

$(x-1)/(sqrt(3x)+sqrt(5)) * (sqrt(3x) - sqrt(5))/(sqrt(3x)-sqrt(5))$

$= ((x-1)(sqrt(3x)-sqrt(5)))/(3x -5)$

How do you divide and rationalize the denominator for (x-1)/(sqrt(3x)+sqrt5)(x-1)/(sqrt(3x)+sqrt5)?