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Distance between (1,-2) and (4,4)

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\bf\textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ -2}})\quad % (c,d) &({{ 4}}\quad ,&{{ 4}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=√([4-1]^2+[4-(-2)]^2)\implies d=√((4-1)^2+(4+2)^2) \\\\\\ d=√(3^2+6^2)\implies d=√(45)\implies d=√(3\cdot 3\cdot 5)\implies d=√(3^2\cdot 5) \\\\\\ d=3√(5)
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