Solve for x
x=27-10\sqrt{2}\approx 12.857864376
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\sqrt{x}+\sqrt{2}-\sqrt{2}=5-\sqrt{2}
Subtract \sqrt{2} from both sides of the equation.
\sqrt{x}=5-\sqrt{2}
Subtracting \sqrt{2} from itself leaves 0.
x=27-10\sqrt{2}
Square both sides of the equation.
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