How do you simplify #sqrt (9x^32y^28)#?

1 Answer
Don't Memorise
Jul 9, 2015

#=color(blue)(3 x^16 y ^14#

Explanation:

#sqrt(9x^32y^28)#

Square root , can also be called as second root , so in terms of fraction, second root is a half power (#color(blue)(1/2#)

Rewriting the expression as:
#sqrt(9x^32y^28) #

#=(9)^(1/2) * x^(32.(1/2)) * y^(28.(1/2))#

#=color(blue)(3 x^16 y ^14#

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