Answer:
-2sqrt(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)
-8 sqrt(8x)
---------- * -----------
sqrt(8x) sqrt(8x)
-8sqrt(8x)
-----------------
8x
We can cancel the 8 in the top and bottom
-sqrt(8x)
---------------
x
We also notice that 8 is made up of 4 and 2
-sqrt(8) sqrt(x)
---------------
x
-sqrt(4) sqrt(2x)
----------------------
x
-2sqrt(2x)
--------------
x
