How do you simplify #14/sqrt 11#?

1 Answer
Feb 21, 2016

Answer:

#color(blue)((14sqrt11)/11)#

Explanation:

Since the given has an irrational deminator, Square Roots are not allowed in the denominator, we must rationalize the denominator.

#a/sqrtb = a/sqrtb * sqrtb/sqrtb = (asqrtb)/b#

where #a>0, b>0, c>0#

we can simply rationalize the denominator by simply multiplying the top and bottom by #sqrt11#.
#(14/sqrt11)*sqrt11/sqrt11 = (14sqrt11)/11#

So the answer is:

#(14sqrt11)/11#