What is the #sqrt312# in simplest radical form?

1 Answer
Oct 23, 2017

See a solution process below:

Explanation:

First, rewrite the term as:

#sqrt(4 xx 78)#

We can then use this rule for radicals to simplify the expression:

#sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))#

#sqrt(4 xx 78) => sqrt(4)sqrt(78) => 2sqrt(78)#