How do you simplify the #sqrt75#?

1 Answer
Mar 5, 2018

See a solution process below:

Explanation:

First, rewrite the expression as:

#sqrt(25 * 3)#

Now, use this rule of radicals to simplify the expression:

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

#sqrt(color(red)(25) * color(blue)(3)) = sqrt(color(red)(25)) * sqrt(color(blue)(3)) = 5sqrt(3)#