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

1 Answer
EZ as pi
Aug 23, 2016

#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)#

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