+26400 Solve this:
And could you tell me the steps.
\(\begin{array}{rcll} \frac{ 4\cdot \sqrt{5} }{ \sqrt{3} } &=& \frac{ 4\cdot \sqrt{5} }{ \sqrt{3} } \cdot \frac{ \sqrt{3} }{ \sqrt{3} } \\ &=& \frac{ 4\cdot \sqrt{5}\sqrt{3} }{ \sqrt{3}\cdot \sqrt{3} } \qquad & | \qquad \sqrt{3}\cdot \sqrt{3} = \sqrt{3}^2 =\sqrt{3^2} = 3\\ &=& \frac{ 4\cdot \sqrt{5}\sqrt{3} }{ 3 } \\ &=& \frac{ 4\cdot \sqrt{15} }{ 3 } \\ &=& \frac43 \cdot \sqrt{15} \\ &=& 1.33333333333\cdot 3.87298334621\\ &=& 5.16397779494\\\\ \end{array}\)
E: None of these,
because:
\(\begin{array}{rcll} \sqrt{2} &=& 1.41421356237 \\ 3\cdot \sqrt{6} &=& 7.34846922835 \\ \sqrt{6} &=& 2.44948974278 \\ \frac{ \sqrt{6} } {3} &=& 0.81649658093 \\ \end{array}\)
+26400 Solve this:
And could you tell me the steps.
\(\begin{array}{rcll} \frac{ 4\cdot \sqrt{5} }{ \sqrt{3} } &=& \frac{ 4\cdot \sqrt{5} }{ \sqrt{3} } \cdot \frac{ \sqrt{3} }{ \sqrt{3} } \\ &=& \frac{ 4\cdot \sqrt{5}\sqrt{3} }{ \sqrt{3}\cdot \sqrt{3} } \qquad & | \qquad \sqrt{3}\cdot \sqrt{3} = \sqrt{3}^2 =\sqrt{3^2} = 3\\ &=& \frac{ 4\cdot \sqrt{5}\sqrt{3} }{ 3 } \\ &=& \frac{ 4\cdot \sqrt{15} }{ 3 } \\ &=& \frac43 \cdot \sqrt{15} \\ &=& 1.33333333333\cdot 3.87298334621\\ &=& 5.16397779494\\\\ \end{array}\)
E: None of these,
because:
\(\begin{array}{rcll} \sqrt{2} &=& 1.41421356237 \\ 3\cdot \sqrt{6} &=& 7.34846922835 \\ \sqrt{6} &=& 2.44948974278 \\ \frac{ \sqrt{6} } {3} &=& 0.81649658093 \\ \end{array}\)
