グローバルビジネスで役立つ数学（57）まるでアメリカのモーテル（英語版）

Hi there!

Teleworking or working remotely has become a present-day reality for many of us; we have no choice but to accept it as a sober reality. Whether it is enjoyable or not varies from person to person.

I’ll increase the number of students taking my online English and Spanish lessons and business plans on online corporate consulting from September 1, 2022. Accordingly, I’ll see more and more students and corporate warriors who work comfortably in their man caves or she sheds.

I had stayed in the Budgetel Inn on my visit to Memphis, Tennessee, U.S.A., where we had a mission to establish a vast production line. The accommodation booked by our client was super, and come to think of it, the room was perfectly tailored for teleworking.

Eureka! I’ve found in the workbook a double radical formula whose structure is similar to the Budgetel Inn, so I want to solve the problem without further ado.

Simplify the double radical formula \(\sqrt{\frac{\sqrt{6} + 1}{\sqrt{6} – 1} + \frac{\sqrt{6} + 3}{\sqrt{6} + 1}}\).
(Source: Chart Mathematics Ⅰ＋Ａ Double Radical Sign)

Here is my solution to the problem.

\(\sqrt{\frac{\sqrt{6} + 1}{\sqrt{6} – 1} + \frac{\sqrt{6} + 3}{\sqrt{6} + 1}}\)
\(= \sqrt{\frac{10 + 4\sqrt{6}}{5}}\)
\(= \frac{\sqrt{10 + 2\sqrt{24}}}{\sqrt{5}}\)
\(= \frac{\sqrt{30} + 2\sqrt{5}}{5}\)

Don’t forget to rationalize the root or radical in a denominator part once found.

Thank you for warmly receiving my corny rhyme in Japanese; “Yuurika” (rationalize) and “Eureka.”

Stay tuned, and expect to see my next post.

Keep well.

Frank Yoshida

￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣
【グローバルビジネスで役立つ数学】でもっと学習する b＾＾)
【参考図書】『もう一度高校数学』（著者：高橋一雄氏）株式会社日本実業出版社
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