2 over (2 + square root of 3) =? many are going to get this WRONG!

Comments · 158

• KA

  @kathleenmay552 · 2 years ago

  Thank you for waking up my mind. Now 75yrs. I tutored math while studying to be an RN to Viet Nam vets. Then helping home schooled family members two generations. I have always loved math thanks again

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• TO

  @tonybalazs · 1 year ago

  Interesting and important content. But it’s very long and repetitive. It would be far more effective if it were 5 minutes long.

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• KW

  @KW-gb9cd · 1 year ago

  The answer is D, and it just took me a moment to figure out in my head.

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• EW

  @Ewa-z6r5t · 2 months ago (edited)

  2(2-sqrt(3))/(4-3)<br>4 - &nbsp;2sqrt(3)

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• VA

  @vanessawelles4760 · 1 year ago

  Invert denominator and multiply by numerator &nbsp;but don&apos;t forget to change the sign of the inverted denominator first !

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• RI

  @richardcommins4926 · 2 years ago

  I am an expert in algebra and answer all your videos in my head except this one. &nbsp;I already knew you can&apos;t multiply the top and bottom by the sqrt(3). &nbsp;I tried squaring the top and bottom but that didn&apos;t resolve the issue either. &nbsp;It is 3am in the morning and could not come up with the conjugate of the denominator. &nbsp;Once I saw the (2 -sqrt(3)), I instantly could see the denominator was one in my head. &nbsp;My bad but maybe my age of 73 and the late night slowed me down a little. &nbsp;My only redemption is that my guess was the answer &quot;D&quot; or 4 - sqrt(3) but I cheated and used a calculator.

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• MA

  @MarieAnne. · 2 years ago

  It&apos;s clear that multiplying denominator by its conjugate gives 1. So rationalizing denominator, we get<br>2 * conjugate of denominator / 1 = 2(2−√3) = 4−2√3<br>But since this is a multiple choice, we could always just eliminate wrong answers.<br>(a) and (b) are clearly wrong. We cannot end up with fractions of the form a/√b or √a/b from the original number.<br>Also, we can see rather quickly that 2/(2+√3) = 1/(1+0.5√3) which is not equal to 1/(1+√3), so we can also eliminate (c).<br>This leaves (d) 4−2√3

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• AN

  @antonstegen1737 · 2 years ago

  Thank you many times over.

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• MO

  @mollymam7153 · 2 years ago

  d.)4-2sqrt3

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• ST

  @stompthedragon4010 · 2 years ago

  I&apos;m actually following you,but will have to go over this a few times ( or maybe many😅, but I&apos;m following you)

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• TR

  @troyjenkins9448 · 2 months ago (edited)

  You can easily guess the correct answer which I did. A and C can be eliminated because they have the same problem as the original equation, an irrational number in the denominator . B can be eliminated because multiplying by the conjugate will yield 1 in the denominator and there aren’t enough terms in the numerator.

• PA

  @pacificdune · 2 years ago

  It’s D. &nbsp;Multiply top and bottom by 2 - sqrt(3).

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