Solve for x
x=18
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2\sqrt{2}+\sqrt{2}=\sqrt{x}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
3\sqrt{2}=\sqrt{x}
Combine 2\sqrt{2} and \sqrt{2} to get 3\sqrt{2}.
\sqrt{x}=3\sqrt{2}
Swap sides so that all variable terms are on the left hand side.
x=18
Square both sides of the equation.
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