How do you simplify #sqrt(40a^2)#?

Question

1548 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-11T11:59:37

See a solution process below:

First, rewrite the term in the radical as:

#sqrt(4a^2 * 10)#

Next, use this rule for radicals to simplify the radical:

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

#sqrt(color(red)(4a^2) * color(blue)(10)) =>#

#sqrt(color(red)(4a^2)) * sqrt(color(blue)(10)) =>#

#2asqrt(color(blue)(10))#