How do you simplify #sqrt(x^9 / 64)#?

1 Answer
Don't Memorise
Jul 2, 2015

So, #sqrt(x^9 / (64)) = x^color(blue)(9/2)/(8)#

Explanation:

#sqrt(x^9 / (64)#

Square root , can also be called as second root .

So, #sqrt(x^9)# in terms of fraction:
#= x^color(blue)((9).1/2)#

#= x^color(blue)(9/2)#

and, #sqrt 64= color(blue)(8)#

So, #sqrt(x^9 / (64)) = x^color(blue)(9/2)/(8)#

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