Question

$$\frac{ 2 }{ 2 \times \frac{ \sqrt{ 3 } }{ 4 } }$$

Answer

(4*sqrt(3))/3

Solution


Simplify  \(2\times \frac{\sqrt{3}}{4}\)  to  \(\frac{\sqrt{3}}{2}\).
\[\frac{2}{\frac{\sqrt{3}}{2}}\]
Invert and multiply.
\[2\times \frac{2}{\sqrt{3}}\]
Rationalize the denominator: \(2\times \frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\times 2\sqrt{3}}{3}\).
\[\frac{2\times 2\sqrt{3}}{3}\]
Simplify  \(2\times 2\sqrt{3}\)  to  \(4\sqrt{3}\).
\[\frac{4\sqrt{3}}{3}\]

Decimal Form: 2.309401