A nice Math Olympiad Square Root Simplification | Calculators NOT Allowed

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Пікірлер: 10

  • @Bismilla33
    @Bismilla332 ай бұрын

    WHAT QUESTION!!! 👏

  • @user-ef1hs9df8u
    @user-ef1hs9df8u2 ай бұрын

    4444222225 =2222 * 2000100 + 25 =2 * 1111*(1999800 + 300) + 25 = 2 * 1111 * (2 * 999900 + 300) + 25 set 1111 = a 2a * (1800a + 300) + 25 = 3600a^2 + 600a + 25 = (60a + 5)^2 = (66665)^2

  • @kennethstevenson976
    @kennethstevenson9762 ай бұрын

    Once again the answer by the estimation division method which starts by pairing digits starting at the decimal point and finding the closest square root of the first pair Answer = 66665

  • @samueldeandrade8535
    @samueldeandrade85352 ай бұрын

    Divide by 1111, N = 1111×4000200+25 N = 1111×200×200001+25 N = 1111×200×3×6667+25 N = 6666×6667×100+25 N = (6666×6667×4+1)×25 Calling a=6665, we have N/25 = (a+1)(a+2)×4+1 = (a²+3a+2)x4+1 = (a²+2a+1+a+1)×4+1 = 4(a+1)²+4(a+1)+1 = (2(a+1))² +2(2(a+1))+1 = (2(a+1)+1)² So ... N = (10(a+1)+5)², a = 6665

  • @superacademy247

    @superacademy247

    2 ай бұрын

    Awesome 💯😎🔥

  • @saadalwahhah9532
    @saadalwahhah95322 ай бұрын

    Amazing

  • @superacademy247

    @superacademy247

    2 ай бұрын

    Thanks

  • @samueldeandrade8535
    @samueldeandrade85352 ай бұрын

    What reasonable person writes 10¹⁰ as 10,000,000,000???

  • @marceloboda9953
    @marceloboda99532 ай бұрын

    🇩🇴🇺🇸🇩🇴🇺🇸