Question

$$\sqrt{ 1.69+ \frac{ }{ \sqrt{ 6.25 } } \sqrt{ 1.44 } }$$

Answer

1.4730919862656

Solution


Simplify  \(\sqrt{6.25}\)  to  \(2.5\).
\[\sqrt{1.69+\frac{}{2.5}\sqrt{1.44}}\]
Simplify  \(\sqrt{1.44}\)  to  \(1.2\).
\[\sqrt{1.69+\frac{}{2.5}\times 1.2}\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\sqrt{1.69+\times \frac{1.2}{2.5}}\]
Simplify  \(\times \frac{1.2}{2.5}\)  to  \(\frac{1.2}{2.5}\).
\[\sqrt{1.69+\frac{1.2}{2.5}}\]
Simplify  \(\frac{1.2}{2.5}\)  to  \(0.48\).
\[\sqrt{1.69+0.48}\]
Simplify  \(1.69+0.48\)  to  \(2.17\).
\[\sqrt{2.17}\]
Simplify.
\[1.473092\]