Question
Answer
$$sqrt\cdot(14-6sqrt\cdot5)=-30q^2r^2s^2t^2+14qrst$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}sqrt\cdot(14-6sqrt\cdot5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}sqrt\cdot(14-30qrst) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}14qrst-30q^2r^2s^2t^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-30q^2r^2s^2t^2+14qrst\end{aligned} $$ | |
| ① | $$ 6 s q r t \cdot 5 = 30 q r s t $$ |
| ② | Multiply $ \color{blue}{qrst} $ by $ \left( 14-30qrst\right) $ $$ \color{blue}{qrst} \cdot \left( 14-30qrst\right) = 14qrst-30q^2r^2s^2t^2 $$ |
| ③ | Combine like terms: $$ -30q^2r^2s^2t^2+14qrst = -30q^2r^2s^2t^2+14qrst $$ |
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