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What is the answer in simplest terms.

What is the answer in simplest terms.-example-1
User MarianD
by
7.1k points

1 Answer

3 votes

Answer:

-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

User Marboni
by
6.9k points