Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$470 \sqrt{ \frac{ 1 }{ 470 \times 21 \times } }$$

Answer

(470*sqrt(9870*))/(9870*)

Solution


Simplify  \(470\times 21\)  to  \(9870\).
\[470\sqrt{\frac{1}{9870}}\]
Simplify  \(\sqrt{\frac{1}{9870}}\)  to  \(\frac{\sqrt{1}}{\sqrt{9870}}\).
\[470\times \frac{\sqrt{1}}{\sqrt{9870}}\]
Simplify  \(\sqrt{1}\)  to  \(1\).
\[470\times \frac{1}{\sqrt{9870}}\]
Rationalize the denominator: \(470\times \frac{1}{\sqrt{9870}} \cdot \frac{\sqrt{9870}}{\sqrt{9870}}=\frac{470\sqrt{9870}}{9870}\).
\[\frac{470\sqrt{9870}}{9870}\]
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