Solve for a
a=2
a=0
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\left(\sqrt{2a}\right)^{2}=a^{2}
Square both sides of the equation.
2a=a^{2}
Calculate \sqrt{2a} to the power of 2 and get 2a.
2a-a^{2}=0
Subtract a^{2} from both sides.
a\left(2-a\right)=0
Factor out a.
a=0 a=2
To find equation solutions, solve a=0 and 2-a=0.
\sqrt{2\times 0}=0
Substitute 0 for a in the equation \sqrt{2a}=a.
0=0
Simplify. The value a=0 satisfies the equation.
\sqrt{2\times 2}=2
Substitute 2 for a in the equation \sqrt{2a}=a.
2=2
Simplify. The value a=2 satisfies the equation.
a=0 a=2
List all solutions of \sqrt{2a}=a.
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