Question 207795
{{{5=sqrt(a)+2}}} Start with the given equation.



{{{5-2=sqrt(a)}}} Subtract 2 from both sides.



{{{3=sqrt(a)}}} Combine like terms.



{{{3^2=a}}} Square both sides.



{{{9=a}}} Square 3 to get 9



{{{a=9}}} Rearrange the equation.



So the solution is {{{a=9}}}



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# 2



{{{33+4*sqrt(a)=6*sqrt(a)-7}}} Start with the given equation.



{{{4*sqrt(a)=6*sqrt(a)-7-33}}} Subtract {{{33}}} from both sides.



{{{4*sqrt(a)-6*sqrt(a)=-7-33}}} Subtract {{{6*sqrt(a)}}} from both sides.



{{{-2*sqrt(a)=-7-33}}} Combine like terms on the left side.



{{{-2*sqrt(a)=-40}}} Combine like terms on the right side.



{{{sqrt(a)=(-40)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{sqrt(a)}}}.



{{{sqrt(a)=20}}} Reduce.



{{{a=(20)^2}}} Square both sides.



{{{a=400}}} Square 20 to get 400.



So the solution is {{{a=400}}}