Question

What is the answer in simplest terms.

Answer 1

-2sqrt(2x)

--------------

x

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