What is the simplified radical form of sqrt(24)?

Oct 12, 2015

=color(blue)(2sqrt6

Explanation:

Simplifying this expression involves prime factorisation of $24$

$24 = 2 \cdot 2 \cdot 2 \cdot 3$

($2 \mathmr{and} 3$ are the prime factors of $24$)

So $\sqrt{24} = \sqrt{2 \cdot 2 \cdot 2 \cdot 3}$

$= \sqrt{{2}^{2} \cdot 2 \cdot 3}$

$= 2 \cdot \sqrt{6}$

=color(blue)(2sqrt6