How do you simplify 8/sqrt(7x)?

1 Answer

(8sqrt(7x))/(7x)

Explanation:

When working with fractions, we want the denominator to be rational. A square root (generally) isn't, and so we need to clear it out. We can do that by multiplying by the square root (top and bottom):

8/sqrt(7x)

8/sqrt(7x)(1)

8/sqrt(7x)(sqrt(7x)/sqrt(7x))

(8sqrt7x)/(sqrt(7x)(sqrt(7x))

(8sqrt(7x))/(7x)