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

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Answer 1 · 2016-08-23T13:48:15

$3usqrt(3su)$

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:

$3|u|sqrt(3su)$

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