Simplify this radical. \sqrt{} 84

asked Oct 15, 2021 232k views

2 votes

Simplify this radical.
$\sqrt{} 84$

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2 votes

Answer:

2√21

Explanation:

$√(84)\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2*\:3*\:7\\=√(2^2*\:3* \:7)\\\\=√(2^2)√(3*\:7)\\\\√(2^2)=2\\\\=2√(3*\:7)\\\\=2√(21)$

Piercebot answered Oct 22, 2021

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