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