How do you simplify #sqrt(40)#?

1 Answer
Mar 13, 2018

Answer:

See a solution process below:

Explanation:

First, rewrite the radical as:

#sqrt(4 * 10)#

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(color(red)(4) * color(blue)(10)) =>#

#sqrt(color(red)(4)) * sqrt(color(blue)(10)) =>#

#2sqrt(color(blue)(10))#