Question

Simplify the expression.

Answer 1

\[4\sqrt{6}+5\sqrt{6}\]

Answer 2

\[\sqrt{6}\]\[\sqrt{6}\times \left( 5+6 \right)\]

Answer 3

Could you explain how you would get the answer? My textbook didn't help me.

Answer 4

Let \[\large \sqrt{6}=a\]
Plugging in a to replace the square root of 6 gives us
\[\large 4\sqrt{6}+5\sqrt{6}=4a+5a=9a\]
If we now replace a with the square root of 6 we get
\[\large 9a=9\sqrt{6}\]