Simplify the expression. -14√6 -28√3 -7√24 I do not know the answer yet -7√14

To simplify the expression (-14sqrt{6} – 28sqrt{3} – 7sqrt{24} – 7sqrt{14}), let’s start by simplifying each term where possible.

1. Simplify (-7sqrt{24}):

[

sqrt{24} = sqrt{4 times 6} = sqrt{4} cdot sqrt{6} = 2sqrt{6}

]

Therefore,

[

-7sqrt{24} = -7 cdot 2sqrt{6} = -14sqrt{6}

]

2. Now substitute (-14sqrt{24}) back into the expression:

[

-14sqrt{6} – 28sqrt{3} – 14sqrt{6} – 7sqrt{14}

]

3. Combine like terms:

The (-14sqrt{6}) terms combine:

[

-14sqrt{6} – 14sqrt{6} = -28sqrt{6}

]

So now the expression is:

[

-28sqrt{6} – 28sqrt{3} – 7sqrt{14}

]

4. Final expression:

Since