How do you simplify $14/ (sqrt7 - sqrt5)$ ?

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Answer 1 · 2015-10-01T15:15:06

$7(sqrt(7)+sqrt(5))$

Multiply the numerator and the denominator by the denominator's conjugate, to make the denominator a difference of squares

$14/(sqrt(7) - sqrt(5))*(sqrt(7)+sqrt(5))/(sqrt(7)+sqrt(5)) = (14(sqrt(7)+sqrt(5)))/(7-5)$

Simplify
$(14(sqrt(7)+sqrt(5)))/(7-5) = (14(sqrt(7)+sqrt(5)))/(2) = 7(sqrt(7)+sqrt(5))$

How do you simplify 14/ (sqrt7 - sqrt5)14/ (sqrt7 - sqrt5)?