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 √ (a+b-c-d) = √(a-b) + √(c-d)


solution

a :1000

b: 100

c:10

d:1

√ (1000+100-10-1) =√ (1089) = 33 = √ (1000-100) + √ (10-1)

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拜足
the identity holds for all bases. Of course, each expression is integral only when c is one more than a square.
2016-04-16 10:47:58
拜足
Interesting Multiplication,

63 x 84 = 48 x 36,

this one is easy.


and this one is incredible!

203313 × 657624 = 426756 × 313302
2016-07-26 15:49:52
拜足
√(001) + √(004) + √(900) =
√(009) + √(400) + √(100) = 33
√(001) + √(144) + √(961) =
√(169) + √(441) + √(100) = 34
just for fun.
2016-07-26 15:50:50
拜足
if you rule out some trivial & easy solutions like
123456 x 654321
= 123456 x 654321 I don't know if there were another answers besides 203313 × 657624 = 426756 × 313302 the chance for 6 digits x 6 digits is about a little bit higher than 1 over a trillion.
2016-07-26 15:52:26
否 是 (若未登入"個人新聞台帳號"則看不到回覆唷!)
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