Solve {l}{49^0,5-625^0,25}{1/2*36^frac{1{2}}+2*36^-frac{1{2}}}

$$\left. \begin{array} { l } { 49 ^ { 0,5 } - 625 ^ { 0,25 } } \\ { \frac { 1 } { 2 } \cdot 36 ^ { \frac { 1 } { 2 } } + 2 \cdot 36 ^ { - \frac { 1 } { 2 } } } \end{array} \right.$$

Sort

$$2,\ \frac{10}{3}$$

Solution Steps

Calculate 49 to the power of 0,5 and get 7.

$$sort(7-625^{0,25};\frac{1}{2}\times 36^{\frac{1}{2}}+2\times 36^{-\frac{1}{2}})$$

Calculate 625 to the power of 0,25 and get 5.

$$sort(7-5;\frac{1}{2}\times 36^{\frac{1}{2}}+2\times 36^{-\frac{1}{2}})$$

Subtract 5 from 7 to get 2.

$$sort(2;\frac{1}{2}\times 36^{\frac{1}{2}}+2\times 36^{-\frac{1}{2}})$$

Calculate 36 to the power of \frac{1}{2} and get 6.

$$sort(2;\frac{1}{2}\times 6+2\times 36^{-\frac{1}{2}})$$

Multiply \frac{1}{2} and 6 to get 3.

$$sort(2;3+2\times 36^{-\frac{1}{2}})$$

Calculate 36 to the power of -\frac{1}{2} and get \frac{1}{6}.

$$sort(2;3+2\times \frac{1}{6})$$

Multiply 2 and \frac{1}{6} to get \frac{1}{3}.

$$sort(2;3+\frac{1}{3})$$

Add 3 and \frac{1}{3} to get \frac{10}{3}.

$$sort(2;\frac{10}{3})$$

Convert decimal numbers in the list 2;\frac{10}{3} to fractions.

$$2;\frac{10}{3}$$

Evaluate

$$2,\ \frac{10}{3}$$