If x= (1/2)(1/3)(3/2)(4/81), then what is the value of sqrt of x?

2 Answers
Guillaume L.
Mar 21, 2018

#sqrt(x)=1/9#

Explanation:

#x=(1/2)(1/3)(3/2)(4/81)#
#x=(cancel(3)/4)(1/cancel(3))(4/81)#
#x=(1/4)(4/81)#
#sqrt((a)*(b))=sqrt(a)*sqrt(b)#
#sqrt(x)=sqrt(1/4)*sqrt(4/81)#
#sqrt(a/b)=sqrt(a)/sqrt(b)#
#sqrt(x)=(1/2)(2/9)#
#sqrt(x)=1/9#
\o/ here is the answer !

Barney V.
Mar 21, 2018

#x=1/9#

Explanation:

#x=(1/2)(1/3)(3/2)(4/81)#

#:.x=1/2*1/3*cancel3^1/2*4/cancel81^27#

#:.x=cancel4^1/cancel324^81#

#:.x=1/81#

#=sqrt(1/81#

#:.x=1/9# = the value of #sqrtx#

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