[tex]1.) \: d = \sqrt{ {( - 9 - ( - 3))}^{2} + {(4 - ( - 8))}^{2} } \\ = \sqrt{ {( - 6)}^{2} + {12}^{2} } \\ = \sqrt{36 + 144} \\ = \sqrt{180} \\ = \sqrt{ {6}^{2} \times 5} \\ = 6 \sqrt{5} [/tex]
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[tex]2.) \: \: d = \sqrt{ {(4 - ( -6 ))}^{2} + {(5 - 0)}^{2} } \\ = \sqrt{ {10}^{2} + {5}^{2} } \\ = \sqrt{100 + 25} \\ = \sqrt{125} \\ = \sqrt{ {5}^{2} \times 5} \\ = 5 \sqrt{5} [/tex]
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