Question

Rationalize the denominator.

10/√24x

write it in simplest form

Answer 1

`(10)/( √(24x) ) =(10)/( √(24x) ) * ( √(24x) )/(√(24x))` because

`( √(24x) )/(√(24x)) =1` and the expression has the same value when multiplied by 1.
Multiply the terms:

`(10)/( √(24x) ) * ( √(24x) )/(√(24x)) =( 10√(24x) )/(24x)`
Simplify to get the final answer:

`( 10√(24x) )/(24x)=( 5√(24x) )/(12x)`