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03-09-2020
Mathematics

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Simplify this radical. [tex]\sqrt{} 84[/tex]

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03-09-2020

Answer:

2√21

Step-by-step explanation:

[tex]\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}[/tex]

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