Question 292730
{{{sqrt(12)-sqrt(3)=k*sqrt(3)}}} Start with the given equation.



{{{sqrt(4*3)-sqrt(3)=k*sqrt(3)}}} Factor 12 into 4*3. Note: 4 is a perfect square.



{{{sqrt(4)*sqrt(3)-sqrt(3)=k*sqrt(3)}}} Break up the first root.



{{{2*sqrt(3)-sqrt(3)=k*sqrt(3)}}} Take the square root of 4 to get 2.



{{{(2-1)*sqrt(3)=k*sqrt(3)}}} Factor out the GCF {{{sqrt(3)}}}



{{{1*sqrt(3)=k*sqrt(3)}}} Combine like terms.



{{{1=k}}} Divide both sides by {{{sqrt(3)}}} to isolate 'k'.



So we can see that the solution is {{{k=1}}} which essentially means that {{{sqrt(12)-sqrt(3)=1*sqrt(3)}}} or more simply {{{sqrt(12)-sqrt(3)=sqrt(3)}}}