How do you simplify #sqrt(64b^48)#?

1 Answer
Daniel L.
Sep 30, 2015

It can be written as #8b^24#

Explanation:

First if you have an expression like #sqrt(a*b)# you can write it as #sqrt(a)*sqrt(b)#, so you can write this as:

#sqrt(64)*sqrt(b^48)#

Finally you can write #sqrt(a)# as #a^(1/2)#, so
#sqrt(b^48)=(b^48)^(1/2)=b^(48/2)=b^24#

Finally you get: #8b^24#

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