Question

How to simplify this ? I will post what I have in a minute.

\[ \frac{\sqrt(6)}{6 + \sqrt(x)} \]

Answer 1

\[ \frac{\sqrt{x}}{6 + \sqrt{x}}\]

\[ \frac{\sqrt{x}}{6 + \sqrt{x}} * \frac{{6 - \sqrt{x}}}{6 - \sqrt{x}} = \frac{{6 \sqrt{6}- \sqrt{6}\sqrt{x}}}{36 - x}\]

Is that simplified?

Answer 2

Sorry, it i suppose to be

\[ \frac{\sqrt{6}}{6 + \sqrt{x}} \]

and then
\[ \frac{\sqrt{6}}{6 + \sqrt{x}} * \frac{{6 - \sqrt{x}}}{6 - \sqrt{x}} = \frac{{6 \sqrt{6}- \sqrt{6}\sqrt{x}}}{36 - x} \]

Answer 3

looks good to me. the rule to simplifying these is as you've done, just make sure no roots exist in the denominator. it's a headache

Answer 4

Ty