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

1 Answer

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)#