How do you rationalize the denominator and simplify $(sqrt3)/(sqrt(5c))$ ?

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Answer 1 · 2017-07-04T14:50:53

$(sqrt(15))/(5c)$

$sqrt3/sqrt(5c)$

To rationalize the denominator, we need to multiply the top and bottom by $sqrt(5c)$ .

$(sqrt(3) xx sqrt(5c))/(sqrt(5c) xx sqrt(5c))$

$(sqrt(15c))/(sqrt(5c)^2)$

The square root and the square cancel each other out, so we are left with

$(sqrt(15))/(5c)$

How do you rationalize the denominator and simplify (sqrt3)/(sqrt(5c))(sqrt3)/(sqrt(5c))?