Question

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

Answer

sqrt(1.69+1/(1.2*sqrt()))

Solution


Simplify  \(\sqrt{\frac{1.44}{}}\)  to  \(\frac{\sqrt{1.44}}{\sqrt{}}\).
\[\sqrt{1.69+\frac{}{\frac{}{}}\times \frac{\sqrt{1.44}}{\sqrt{}}}\]
Simplify  \(\sqrt{1.44}\)  to  \(1.2\).
\[\sqrt{1.69+\frac{}{\frac{}{}}\times \frac{1.2}{\sqrt{}}}\]
Simplify  \(//\times 1.2/\sqrt{}\)  to  \(\frac{1}{\frac{1}{\times 1.2}\sqrt{}}\).
\[\sqrt{1.69+\frac{1}{\frac{1}{\times 1.2}\sqrt{}}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\sqrt{1.69+\frac{1}{1\times 1.2\sqrt{}}}\]
Simplify  \(1\times 1.2\sqrt{}\)  to  \((1.2)\sqrt{}\).
\[\sqrt{1.69+\frac{1}{1.2\sqrt{}}}\]
Rationalize the denominator: \(\frac{1}{1.2\sqrt{}} \cdot \frac{\sqrt{}}{\sqrt{}}=\frac{\sqrt{}}{1.2}\).
\[\sqrt{1.69+\frac{\sqrt{}}{1.2}}\]
Simplify  \(\frac{\sqrt{}}{1.2}\)  to  \(\frac{1}{1.2\sqrt{}}\).
\[\sqrt{1.69+\frac{1}{1.2\sqrt{}}}\]