$$sqrt\cdot\dfrac{74}{s}qrt\cdot23=\dfrac{1702q^2r^2st^2}{s}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}sqrt\cdot\frac{74}{s}qrt\cdot23& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{74qrst}{s}qrt\cdot23 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{74q^2rst}{s}rt\cdot23 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{74q^2r^2st}{s}t\cdot23 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}\frac{74q^2r^2st^2}{s}\cdot23 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}\frac{1702q^2r^2st^2}{s}\end{aligned} $$ | |
| ① | Multiply $qrst$ by $ \dfrac{74}{s} $ to get $ \dfrac{ 74qrst }{ s } $. Step 1: Write $ qrst $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} qrst \cdot \frac{74}{s} & \xlongequal{\text{Step 1}} \frac{qrst}{\color{red}{1}} \cdot \frac{74}{s} \xlongequal{\text{Step 2}} \frac{ qrst \cdot 74 }{ 1 \cdot s } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 74qrst }{ s } \end{aligned} $$ |
| ② | Multiply $ \dfrac{74qrst}{s} $ by $ q $ to get $ \dfrac{ 74q^2rst }{ s } $. Step 1: Write $ q $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{74qrst}{s} \cdot q & \xlongequal{\text{Step 1}} \frac{74qrst}{s} \cdot \frac{q}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 74qrst \cdot q }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 74q^2rst }{ s } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{74q^2rst}{s} $ by $ r $ to get $ \dfrac{ 74q^2r^2st }{ s } $. Step 1: Write $ r $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{74q^2rst}{s} \cdot r & \xlongequal{\text{Step 1}} \frac{74q^2rst}{s} \cdot \frac{r}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 74q^2rst \cdot r }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 74q^2r^2st }{ s } \end{aligned} $$ |
| ④ | Multiply $ \dfrac{74q^2r^2st}{s} $ by $ t $ to get $ \dfrac{ 74q^2r^2st^2 }{ s } $. Step 1: Write $ t $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{74q^2r^2st}{s} \cdot t & \xlongequal{\text{Step 1}} \frac{74q^2r^2st}{s} \cdot \frac{t}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 74q^2r^2st \cdot t }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 74q^2r^2st^2 }{ s } \end{aligned} $$ |
| ⑤ | Multiply $ \dfrac{74q^2r^2st^2}{s} $ by $ 23 $ to get $ \dfrac{ 1702q^2r^2st^2 }{ s } $. Step 1: Write $ 23 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{74q^2r^2st^2}{s} \cdot 23 & \xlongequal{\text{Step 1}} \frac{74q^2r^2st^2}{s} \cdot \frac{23}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 74q^2r^2st^2 \cdot 23 }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 1702q^2r^2st^2 }{ s } \end{aligned} $$ |