Question

How do you simplify `sqrt(27su^3)`?

Answer 1

`3usqrt(3su)`

Explanation:

Write the numbers under the root sign as prime factors, or try to form even powers.

`sqrt(27su^3) = sqrt(3xxcolor(red)(3^2) xx s xxu xx color(red)(u^2))`

=`color(red)(3u)sqrt(3su)`

Note that this assumes `u>=0`

For a general solution:

`3|u|sqrt(3su)`