Question

How do you rationalize the denominator and simplify `5/sqrt(28x)`?

Answer 1

Since you have an x in the denominator, rationalizing will not simplify properly: `(5sqrt(7x))/(14x)`

Explanation:

multiply by `sqrt(28x)/sqrt(28x)=1`

`5/sqrt(28x)xxsqrt(28x)/sqrt(28x)=(5sqrt(28x))/(28x)`

`=5sqrt(2^2*7x)/(28x)=(5*2*sqrt(7x))/28x=(5sqrt(7x))/(14x)`