Question 907094
.what is the simplest form cube root of -49 times cube root of 7x^2?
{{{root(3,-49)*root(3,7x^2)=root(3,-243x^2)=-7x^(2/3)}}}
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2.what is the simplest form of cube root 25xy^2 times cube root 15x^2?
{{{root(3,25xy^2)*root(3,15x^2)=root(3,375x^3y^2)=5x*root(3,15y^2)}}}
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3.what is the simplest form of sqrt (75x^5) over sqrt (12xy^2)?
{{{sqrt(75x^5)/sqrt(12xy^2)=sqrt(75x^4)/sqrt(12y^2)=5x^2sqrt(5)/(2y*sqrt(3))=5x^2sqrt(15)/(6y)}}}

4.what is the simplest form of 2 cube root x^2y over cube root of 4xy^2?
{{{2root(3,x^2y)/root(3,4xy^2)=2root(3,x^3y^3)/root(3,4)=2xy/root(3,4)=2xy*root(3,2)/(root(3,4)*root(3,2))=2xy*root(3,2)/root(3,8)=2xy*root(3,2)/2=xy*root(3,2)}}}
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5.what is the simplest form of 2 sqrt(72) minus 3 sqrt (32)?
{{{2sqrt(72)-3sqrt(32)=2*sqrt(36*2)-3sqrt(16*2)=2*6sqrt(2)-3*4sqrt(2)
=12sqrt(2)-12sqrt(2)=0}}}