グローバルビジネスで役立つ数学(56)二重根号を外す(英語版)

Hi there!

I can still cut the mustard with a full-time workload at my age. Then, why am I about to leave my comfort zone? Because I have wanted to carry away again like I did in the Showa era.

I’ve become tired of pulling rank among people who know little and those who repeat “compliance” in exchange for meaningless job security. Things will be precarious; however, I await unexpected thrills and creative time.

――”Why did you kick me in last night’s matchmaking drinking party?”
  said one of my ex-seniors in the university club.
――”Who took a flying leap of sending this telex message to the client?”
  One day, my ex-export section director shouted outrage at my arbitrary
  decision without his endorsement of export prices.

Those were just a few examples of my sophomoric mistakes, but those boisterous actions enriched nuggets of experiences. I’ve grown tiresome of seeing personable people in the workplace.

I am challenged all the time. The tombstone will be my diploma.

Huh, huh! OK, let me return to sanity. Instead of kicking out the jams in the workplace, I try to simplify a double root sign.

Denest the nested radical \(\sqrt{11 + 4\sqrt{6}}\) for its simplicity.

Here is my solution to the problem.

First, think of how to put the number \(2\) before the root inside the external one. There you go.

\(\sqrt{11 + 4\sqrt{6}}\)
\(= \sqrt{11 + 2・2\sqrt{6}}\)
\(= \sqrt{11 + 2\sqrt{24}}\)
\(= \sqrt{(8 + 3) + 2\sqrt{8・3}}\)
\(= \sqrt{(\sqrt{8} + \sqrt{3})^{2}}\)
\(= \sqrt{8} + \sqrt{3}\)
\(= 2\sqrt{2} + \sqrt{3}\)

I managed to remove the inside root.

However, I wonder if I can eradicate a sense of insanity from my life that I tend to shy away from stability.

Stay tuned, and expect to see my next post.

Keep well.

Frank Yoshida

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【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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