√(2) ÷ 2 × √(3) ÷ 2
You asked:
Evaluate the expression: \(\frac{\frac{\sqrt{2}}{2} \cdot \sqrt{3}}{2}\)
MathBot Answer:
\[\frac{\frac{\sqrt{2}}{2} \cdot \sqrt{3}}{2} = \frac{\sqrt{6}}{4} \approx 0.61237243569579452454932101867647\]
\[\begin{aligned}\frac{\frac{\sqrt{2}}{2} \cdot \sqrt{3}}{2}& = \sqrt{2} \cdot \frac{1}{2} \cdot \sqrt{3} \cdot \frac{1}{2}\\& = \sqrt{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \sqrt{3}\\& = \frac{1}{2} \cdot \sqrt{2} \cdot \frac{1}{2} \cdot \sqrt{3}\\& = \frac{1}{4} \cdot \sqrt{6}\end{aligned}\]