Simplify this radical. \sqrt{} 84

Question

Simplify this radical.
`\sqrt{} 84`

Answer 1

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)`