How do you simplify sqrt(40)?

1 Answer
Mar 13, 2018

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))