What is the simplified radical form of sqrt(96)?

1 Answer
Oct 12, 2015

=color(blue)(4sqrt6

Explanation:

Simplifying this expression involves prime factorisation of 96

96= 2*2*2*2*2*3
(2 and 3 are the prime factors of 96)

So sqrt(96)=sqrt(2*2*2*2*2*3)

=sqrt(2^2 *2^2 *2*3)

=2*2sqrt6

=color(blue)(4sqrt6