Answer:
-3sqrt(2x)
--------------
x
Step-by-step explanation:
To rationalize the denominator, we need to get rid of the square root. We need to multiply by sqrt(8x)/sqrt(8x)
-12 sqrt(8x)
---------- * -----------
sqrt(8x) sqrt(8x)
-12sqrt(8x)
-----------------
8x
We can cancel the 4 in the top and bottom
-3sqrt(8x)
---------------
2x
We also notice that 8 is made up of 4 and 2
-3sqrt(8) sqrt(x)
---------------
2x
-3sqrt(4) sqrt(2x)
----------------------
2x
-3*2sqrt(2x)
--------------
2x
Cancel the 2 in the top and bottom
-3sqrt(2x)
--------------
x
