Example

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

Question

$$\frac{ 55142 }{ 42644 } \frac { 656269 } { \sqrt{ 466559 } }$$

Answer

(18093992599*sqrt(466559))/9947970998

Solution


Simplify  \(\frac{55142}{42644}\)  to  \(\frac{27571}{21322}\).
\[\frac{27571}{21322}\times \frac{656269}{\sqrt{466559}}\]
Rationalize the denominator: \(\frac{27571}{21322}\times \frac{656269}{\sqrt{466559}} \cdot \frac{\sqrt{466559}}{\sqrt{466559}}=\frac{27571\times 656269\sqrt{466559}}{21322\times 466559}\).
\[\frac{27571\times 656269\sqrt{466559}}{21322\times 466559}\]
Simplify  \(27571\times 656269\sqrt{466559}\)  to  \(18093992599\sqrt{466559}\).
\[\frac{18093992599\sqrt{466559}}{21322\times 466559}\]
Simplify  \(21322\times 466559\)  to  \(9947970998\).
\[\frac{18093992599\sqrt{466559}}{9947970998}\]

Decimal Form: 1242.376373

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