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What is the square root of 196y^10?

1 Answer

Sep 11, 2015

#sqrt(196y^10) = abs(14y^5)#

Explanation:

#sqrt(196y^10)#

#=sqrt(14^2xx(y^5)^2)#

#= sqrt(14^2)xxsqrt((y^5)^2)#

#= abs(14)xxabs(y^5)color(white)("XXX")#...we use absolute values to ensure principal roots only)

#= abs(14y^5)#

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