Solve for b
b=\frac{\sqrt{6}}{3}\approx 0.816496581
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3\times 2^{\frac{1}{2}}b=2\sqrt{3}
Multiply both sides of the equation by 3.
3\sqrt{2}b=2\sqrt{3}
Reorder the terms.
\frac{3\sqrt{2}b}{3\sqrt{2}}=\frac{2\sqrt{3}}{3\sqrt{2}}
Divide both sides by 3\sqrt{2}.
b=\frac{2\sqrt{3}}{3\sqrt{2}}
Dividing by 3\sqrt{2} undoes the multiplication by 3\sqrt{2}.
b=\frac{\sqrt{6}}{3}
Divide 2\sqrt{3} by 3\sqrt{2}.
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