Plot the points $\mathrm{????}=(0,0),\mathrm{????}=(3,2),$ and $\mathrm{????}=(-4,6).$ Notice that these points are vertices of a right triangle $($the angle $\mathrm{????}$ is $90$ degrees$).$

Find the distance between A and $\mathrm{????}$ :

Find the distance between A and $\mathrm{????}$ :

Find the area of the triangle ABC :The expression $\sqrt[4]{6561\mathrm{????}5\mathrm{????}2}\sqrt[\phantom{\mathrm{}}]{6561\mathrm{????}5\mathrm{????}2}$ equals $\mathrm{????}\mathrm{????}\mathrm{????}\mathrm{????}\mathrm{????}$

where $\mathrm{????},$ the exponent of $\mathrm{????},$ is:

and $\mathrm{????},$ the exponent of $\mathrm{????},$ is:

and $\mathrm{????},$ the leading coefficient is:If you rationalize the denominator of

$\frac{1}{7\sqrt[\phantom{\mathrm{}}]{5}-3\sqrt[\phantom{\mathrm{}}]{3}}$

then you will get

$\frac{\mathrm{????}\sqrt[\phantom{\mathrm{}}]{5}+\mathrm{????}\sqrt[\phantom{\mathrm{}}]{3}}{\mathrm{????}}$

where $\mathrm{????},\mathrm{????},$ and $\mathrm{????}$ are all positive integers $($with no common factors$).$