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  • 08-11-2021
  • Mathematics
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❗CORRECT ANSWER+EXPLANATION=100POINTS+BRAIBLIEST
work out:
[tex]3 \sqrt{12} + \sqrt{75} [/tex]
thanks)​

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devishri1977
devishri1977 devishri1977
  • 08-11-2021

Answer:

Step-by-step explanation:

Factorize 12 and 75

12 = 2 * 2* 3

75 = 3 * 5 * 5

[tex]3\sqrt{12} + \sqrt{75}=3*\sqrt{2*2*3}+\sqrt{5*5*3}\\\\=3*2\sqrt{3}+5\sqrt{3}\\\\=6\sqrt{3}+5\sqrt{3}\\\\=(6+5)\sqrt{3}\\\\=11\sqrt{3}[/tex]

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