Question

$$\left. \begin{array} { l } { ( a + \sqrt { 2 } = \frac { 9 \cdot 41 } { } ) } \\ { \text { t o i n d . \right.$$

Answer

$$g=-((-sqrt(2)+246*Ca*e^5*IM*l^2*c*u*a*t^3*h*p*r^2*m*o*f)*IM)/(v*e*nQ)$$

Solution


Take out the constants.
\[g\imath venQ+\sqrt{2}=(3\times 41\times 2)llcuattthprrmofCaeee\imath ee\]
Simplify  \(3\times 41\)  to  \(123\).
\[g\imath venQ+\sqrt{2}=(123\times 2)llcuattthprrmofCaeee\imath ee\]
Simplify  \(123\times 2\)  to  \(246\).
\[g\imath venQ+\sqrt{2}=246llcuattthprrmofCaeee\imath ee\]
Simplify  \(246llcuattthprrmofCaeee\imath ee\)  to  \(246{l}^{2}cua{t}^{3}hp{r}^{2}mofCaeee\imath ee\).
\[g\imath venQ+\sqrt{2}=246{l}^{2}cua{t}^{3}hp{r}^{2}mofCaeee\imath ee\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[g\imath venQ+\sqrt{2}=246{l}^{2}cua{t}^{3}hp{r}^{2}mofCa{e}^{5}\imath \]
Regroup terms.
\[g\imath venQ+\sqrt{2}=246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof\]
Regroup terms.
\[\sqrt{2}+g\imath venQ=246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof\]
Subtract \(\sqrt{2}\) from both sides.
\[g\imath venQ=246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof-\sqrt{2}\]
Regroup terms.
\[g\imath venQ=-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof\]
Divide both sides by \(\imath \).
\[gvenQ=\frac{-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof}{\imath }\]
Rationalize the denominator: \(\frac{-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof}{\imath } \cdot \frac{\imath }{\imath }=-(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath \).
\[gvenQ=-(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath \]
Divide both sides by \(v\).
\[genQ=-\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{v}\]
Divide both sides by \(e\).
\[gnQ=-\frac{\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{v}}{e}\]
Simplify  \(\frac{\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{v}}{e}\)  to  \(\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{ve}\).
\[gnQ=-\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{ve}\]
Divide both sides by \(nQ\).
\[g=-\frac{\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{ve}}{nQ}\]
Simplify  \(\frac{\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{ve}}{nQ}\)  to  \(\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{venQ}\).
\[g=-\frac{(-\sqrt{2}+246Ca{e}^{5}\imath {l}^{2}cua{t}^{3}hp{r}^{2}mof)\imath }{venQ}\]