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  • 24-01-2019
  • Mathematics
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What is the simplified form of the following expression?

What is the simplified form of the following expression class=

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carlosego
carlosego carlosego
  • 29-01-2019

For this case, we must simplify the following expression:

[tex]2 \sqrt {27} + \sqrt {12} -3 \sqrt {3} -2 \sqrt {12}[/tex]

Then, rewriting terms:

[tex]2 \sqrt {27} = 2 \sqrt {9 * 3} = 2 \sqrt {3 ^ 2 * 3} = 6 \sqrt {3}\\\sqrt {12} = \sqrt {3 * 4} = \sqrt {2 ^ 2 * 3} = 2 \sqrt {3}\\2 \sqrt {12} = 2 \sqrt {3 * 4} = 2 \sqrt {2 ^ 2 * 3} = 4 \sqrt {3}[/tex]

Rewriting the expression:

[tex]6 \sqrt {3} +2 \sqrt {3} -3 \sqrt {3} -4 \sqrt {3} = \sqrt {3}[/tex]

Answer:

[tex]\sqrt {3}[/tex]


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