saharaapollonio
saharaapollonio saharaapollonio
  • 02-04-2020
  • Mathematics
contestada

2. Which of the expressions below is equivalent to:

2 Which of the expressions below is equivalent to class=

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corm
corm corm
  • 02-04-2020

Step-by-step explanation:

[tex]4\sqrt{27} + 3\sqrt{12}[/tex]

First, let's rewrite the numbers inside the square roots as factors that include squares:

[tex]4\sqrt{9 * 3} + 3\sqrt{4 * 3}[/tex]

Now, we can take the square root of these squares, while keeping the remaining factor(s) inside of the square root:

[tex](4*3)\sqrt{3} + (3*2)\sqrt{3}[/tex]

[tex]12\sqrt{3} + 6\sqrt{3}[/tex]

[tex]18\sqrt{3}[/tex]

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