Question

$$y= \frac{ \sqrt{ 2 } \times 15/4 }{ \sqrt{ 3 } }$$

Answer

y=(15*sqrt(2))/(4*sqrt(3))

Solution


Simplify  \(\sqrt{2}\times \frac{15}{4}\)  to  \(\frac{\sqrt{2}\times 15}{4}\).
\[y=\frac{\frac{\sqrt{2}\times 15}{4}}{\sqrt{3}}\]
Regroup terms.
\[y=\frac{\frac{15\sqrt{2}}{4}}{\sqrt{3}}\]
Simplify  \(\frac{\frac{15\sqrt{2}}{4}}{\sqrt{3}}\)  to  \(\frac{15\sqrt{2}}{4\sqrt{3}}\).
\[y=\frac{15\sqrt{2}}{4\sqrt{3}}\]

Decimal Form: 3.061862