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How do you simplify #(9 sqrt(5x^2))/( 3 sqrt(2x^4))#?

1 Answer

Feb 21, 2016

Remember that #sqrt(x^2)=x# and #x^4=x^2*x^2#
And that #sqrt(a*b)=sqrta*sqrtb#

Explanation:

#=(9*sqrt5*sqrt(x^2))/(3*sqrt2*sqrt(x^2)*sqrt(x^2))#

#=(cancel3*3*cancelx*sqrt5)/(cancel3*x*cancelx*sqrt2)#

#=(3sqrt5)/(xsqrt2)#

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