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How do you multiply #sqrt (x) * (x)#?

1 Answer

Jun 13, 2015

#sqrtx*x=sqrt(x^3)#

Explanation:

Knowing that #sqrtx=x^(1/2)#
and using the properties:
#x^a*x^b=x^(a+b)#
#(x^a)^b=x^(a*b)#
you have:

#sqrtx*x=x^(1/2)*x^1=x^(1/2+1)=x^(3/2)=(x^3)^(1/2)=sqrt(x^3)#

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