Solve {l}{sqrt{61/4}}{sqrt{9/64}}

$$\left. \begin{array} { l } { \sqrt { 6 \frac { 1 } { 4 } } } \\ { \sqrt { \frac { 9 } { 64 } } } \end{array} \right.$$

Sort

$$\frac{3}{8},\frac{5}{2}$$

Solution Steps

Multiply 6 and 4 to get 24.

$$sort(\sqrt{\frac{24+1}{4}},\sqrt{\frac{9}{64}})$$

Add 24 and 1 to get 25.

$$sort(\sqrt{\frac{25}{4}},\sqrt{\frac{9}{64}})$$

Rewrite the square root of the division \frac{25}{4} as the division of square roots \frac{\sqrt{25}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$sort(\frac{5}{2},\sqrt{\frac{9}{64}})$$

Rewrite the square root of the division \frac{9}{64} as the division of square roots \frac{\sqrt{9}}{\sqrt{64}}. Take the square root of both numerator and denominator.

$$sort(\frac{5}{2},\frac{3}{8})$$

Least common denominator of the numbers in the list \frac{5}{2},\frac{3}{8} is 8. Convert numbers in the list to fractions with denominator 8.

$$\frac{20}{8},\frac{3}{8}$$

To sort the list, start from a single element \frac{20}{8}.

$$\frac{20}{8}$$

Insert \frac{3}{8} to the appropriate location in the new list.

$$\frac{3}{8},\frac{20}{8}$$

Replace the obtained fractions with the initial values.

$$\frac{3}{8},\frac{5}{2}$$

Evaluate

$$\frac{5}{2},\ \frac{3}{8}$$