How do you simplify #sqrt(40)#?

Question

10284 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-13T12:45:51

See a solution process below:

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))#