Mathematics, 10.07.2019 14:20, aj0914
How can i find the exact distance between the points(√7,-√2)and (4√7,5√2)
Answers: 1
![\bf d=\sqrt{[4\sqrt{7}-\sqrt{7}]^2~+~[5\sqrt{2}-(-\sqrt{2})]^2} \\\\\\ d=\sqrt{(4\sqrt{7}-\sqrt{7})^2~+~(5\sqrt{2}+\sqrt{2})^2}\implies d=\sqrt{(3\sqrt{7})^2~+~(6\sqrt{2})^2} \\\\\\ d=\sqrt{3^2\cdot 7~~+~~6^2\cdot 2}\implies d=\sqrt{63+72}\implies d=\sqrt{135} \\\\\\ \begin{cases} 135=5\cdot 3\cdot 3\cdot 3\\ \qquad 5\cdot 3^2\cdot 3\\ \qquad 15\cdot 3^2 \end{cases}\implies d=\sqrt{15\cdot 3^2}\implies d=3\sqrt{15}](/tpl/images/0073/5391/af421.png)
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How can i find the exact distance between the points(√7,-√2)and (4√7,5√2)...
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