Example

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

Question

$$provethat2+ \sqrt[ 5 ]{ 3 } irrationl$$

Answer

$$2*e*p*r*o*v*t^2*h*a-3^(1/5)*r^2*a*t*o*n*l$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[prove{t}^{2}ha\times 2+\sqrt[5]{3}\imath rrat\imath onl\]
Regroup terms.
\[2eprov{t}^{2}ha+\sqrt[5]{3}\imath rrat\imath onl\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2eprov{t}^{2}ha+\sqrt[5]{3}{\imath }^{2}{r}^{2}atonl\]
Use Square Rule: \({i}^{2}=-1\).
\[2eprov{t}^{2}ha+\sqrt[5]{3}\times -1\times {r}^{2}atonl\]
Simplify  \(\sqrt[5]{3}\times -1\times {r}^{2}atonl\)  to  \(\sqrt[5]{3}\times -{r}^{2}atonl\).
\[2eprov{t}^{2}ha+\sqrt[5]{3}\times -{r}^{2}atonl\]
Regroup terms.
\[2eprov{t}^{2}ha-\sqrt[5]{3}{r}^{2}atonl\]
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