Question #6327

Rationalize the denominator of √27t^2r / √3tr
Assume that all variables are positive.

Expert's answer

sqrt(27 t^2 r)/sqrt(3 tr)=sqrt(27 t^2 r)*sqrt(3 tr)/(3tr)=

sqrt(27 t^2 r*3 tr)/(3tr) =3 sqrt(3 t^2 r*3 tr)/(3tr)=

sqrt(9 t^3 r^2)/(tr)=

=3 tr sqrt(t) /(tr)=3 sqrt(t)

sqrt(27 t^2 r*3 tr)/(3tr) =3 sqrt(3 t^2 r*3 tr)/(3tr)=

sqrt(9 t^3 r^2)/(tr)=

=3 tr sqrt(t) /(tr)=3 sqrt(t)

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