[tex]\huge\boxed{\sqrt{218}}[/tex]
The distance formula is [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the points.
Substitute in the values. [tex]\sqrt{(3 - (-4))^{2} + (-7 - 6)^{2}}[/tex]
Simplify the negative subtraction. [tex]\sqrt{(3 + 4)^{2} + (-7 - 6)^{2}}[/tex]
Add and subtract. [tex]\sqrt{7^{2} + (-13)^{2}}[/tex]
Solve the exponents. [tex]\boxed{\sqrt{218}}[/tex]
The square root of [tex]218[/tex] cannot be simplified.
