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Category: Coordinate Geometry

3-2-5-1-4-3-2-5-1-4-1-4-

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Question Number 120275 by bramlexs22 last updated on 30/Oct/20 $$\:\sqrt[{\mathrm{4}\:}]{\frac{\mathrm{3}+\mathrm{2}\:\sqrt[{\mathrm{4}}]{\mathrm{5}}}{\mathrm{3}−\mathrm{2}\:\sqrt[{\mathrm{4}}]{\mathrm{5}}}}\:=?\: \\ $$ Answered by TANMAY PANACEA last updated on 30/Oct/20 $$\mathrm{3}−\mathrm{2}\left(\mathrm{5}\right)^{\frac{\mathrm{1}}{\mathrm{4}}} \\ $$$$=\mathrm{3}−\left(\mathrm{2}^{\mathrm{4}} ×\mathrm{5}\right)^{\frac{\mathrm{1}}{\mathrm{4}}} \\…

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If-p-is-the-measure-of-per-pendicular-segment-from-the-origin-on-the-line-whose-intercept-are-a-and-b-show-that-1-a-2-1-b-2-1-p-2-

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Question Number 54364 by peter frank last updated on 02/Feb/19 $$\mathrm{If}\:\:\mathrm{p}\:\mathrm{is}\:\mathrm{the}\:\mathrm{measure}\:\mathrm{of}\:\mathrm{per} \\ $$$$\mathrm{pendicular}\:\mathrm{segment}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{origin}\:\mathrm{on}\:\mathrm{the}\:\mathrm{line} \\ $$$$\mathrm{whose}\:\mathrm{intercept}\:\mathrm{are} \\ $$$$\mathrm{a}\:\:\mathrm{and}\:\:\:\:\mathrm{b}.\mathrm{show}\:\mathrm{that} \\ $$$$\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{b}^{\mathrm{2}} }=\frac{\mathrm{1}}{\mathrm{p}^{\mathrm{2}} } \\…

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