3 over 6-vx

Question

Simplify

   3    

6-√x

Answer 1

Hi Tammy,

 

You will have to rationalize the denominator.

 

First you need to recognize that you will use the conjugate of 6-√x, that is 6+√x.

 

When you multiply 6+√x to the numerator and denominator, you end up with 3(6+√x)/[(6-√x)(6+√x)]

 

Now you can simplify the numerator 18+3√x and then

 

simplify the denominator 36-6√x+6√x-(√x)² --> 36-x

 

put them together and you have (18+3√x)/(36-x)

 

I hope that helps.