Solve for x
x=\frac{\sqrt{2}}{2}\approx 0.707106781
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2\sqrt{2}x=2
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}.
\frac{2\sqrt{2}x}{2\sqrt{2}}=\frac{2}{2\sqrt{2}}
Divide both sides by 2\sqrt{2}.
x=\frac{2}{2\sqrt{2}}
Dividing by 2\sqrt{2} undoes the multiplication by 2\sqrt{2}.
x=\frac{\sqrt{2}}{2}
Divide 2 by 2\sqrt{2}.
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