Example

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

Question

$$458 \sqrt{ \frac{ 458 }{ 458 \times 7 \times } }$$

Answer

(458*sqrt(458))/(sqrt(3206)*sqrt())

Solution


Simplify  \(458\times 7\)  to  \(3206\).
\[458\sqrt{\frac{458}{3206}}\]
Simplify  \(\sqrt{\frac{458}{3206}}\)  to  \(\frac{\sqrt{458}}{\sqrt{3206}}\).
\[458\times \frac{\sqrt{458}}{\sqrt{3206}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[458\times \frac{\sqrt{458}}{\sqrt{3206}\sqrt{}}\]
Simplify.
\[\frac{458\sqrt{458}}{\sqrt{3206}\sqrt{}}\]
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